In this problem, y = 1/(1 + c1e−x) is a one-parameter family of solutions of the first-order de y' = y − y2. find a solution of the first-order ivp consisting of this differential equation and the given initial condition. y(0) = − 1 8

Answers

Answer 1
The solution can be determined if we can specify the value of the arbitrary constant C₁. We do this by using the initial condition. When x=0, y is equal to -18. Substitute this to the general solution.

y = 1/(1 + C₁e⁻ˣ)
-18 = 1/(1 + C₁e⁰)
-18 = 1/(1+C₁)
C₁ = -1- 1/18 = -19/18

Therefore, the specific solution is:
y = 1/(1 - 19e⁻ˣ/18)

Related Questions

The equation 9.95 + 0.30s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.

Answers

C= $20.45, you do how many songs multiply that by each song cost and add $9.95

The equation is c = 9.95 + 0.30s. Then the cost of downloading 35 songs will be $20.45.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded.

Then the cost of downloading 35 songs will be given as,

c = 9.95 + 0.30s

c = 9.95 + 0.30 x 35

c = 9.95 + 10.5

c = $20.45

The cost of downloading 35 songs will be $20.45.

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Simplify the expression (1/4ab)^-2.  Assume .

Answers

The Answer is (4ab)^2 or 16a^2b^2

After simplification, the solution is,

⇒ 16a²b²

We have,

The given expression to simplify is,

⇒ (1 / 4ab)⁻²

Now, We can simplify the expression by rule of exponent as,

⇒ (1 / 4ab)⁻²

⇒ (4ab)²

⇒ 4² × a² × b²

⇒ 16a²b²

Therefore, The solution is,

⇒ 16a²b²

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When two probabilities are multiplied, the probability represents a compound event

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True:  If we have two independent events and want to know the probability of their happening at the same time, we multiply the two probabilities together.  "Two events happening at the same time" is a compound event.  We more often see this as "P(xy)," the probability of x AND y.

How to get the answer

Answers

sqrt(16) = 4

sqrt4 = 2

2^2 = 4

 so now you have 4-6(4)/2

6*4 =24

4-24 = -20

-20/2 = -10

A baseball team played 177 complete games last season. They had 33 fewer wins than losses. How many games did the team win

Answers

72 I believe because you have to subtract the 33 from the number of total games & then divide by two because you already took out the 33 more loses than wins.

what is the product of gcf and another sum of 48+14

Answers

48 and 14 GCF = 2
and 48 plus 14 = 2 * 31

There are 14 books on a shelf. 8 of these books are new What is the ratio of all books to used books?

Answers

the ratio of the used books is 6/14 (read: six over fourteen) simplified to 3/7 (read: three over seven). hope that helps!!

The ratio of all books to used books in simplified form is 7 : 3.

Used the concept of ratio that states,

The ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.

Given that,

There are 14 books on a shelf.

8 of these books are new.

Here, the number of used books is,

14 - 8

= 6

Thus, the ratio of all books to used books is,

14 : 6

Simplified form;

14 : 6 = 7 : 3

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Monique says the model shows 7/100. Do you agree? Explain.

Answers

The model shows 7/10 which is equivalent to 70/100 (multiply top and bottom by 10). 

712 ÷ 74 is equal to _____. 13 3 73 78

Answers

Answer:

[tex]\frac{712}{74}=9.62[/tex]

Step-by-step explanation:

Given, [tex]\frac{712}{74}[/tex]

The numerator part means upper value of fraction and upper value of fraction   is called Dividened.

The denomerator part  means lower part of fraction and lower value  of fraction  is called Divisor.

The value obtained  when  the numerator is divided by denomerator is called Quotient.

Now, there is 712 is Dividened  and 74 is Divisor.

Now,after  dividing 712 by 74 we get  quotient value 9.62.

Hence , [tex]\frac{712}{74} =9.62[/tex]

Therefore, the correct answer is 9.62.

Answer:

7^8

Step-by-step explanation:

What is 403.608 in words

Answers

The answer is:  " Four hundred three and six hundred three thousandths. "
____________________________________________________________

Please answer, will choose brainliest

Answers

B) would be tha answer :)
the answer is b hope this helps

find the average for the following group of numbers 85, 92, 84,85,96,95

Answers

add them all then divide by 6 can i have brainlyist

To find the average, add all numbers together and divide by the amount of numbers there are

(85 + 92 + 84 + 85 + 96 + 95)/6 = 537/6 = 89.5 

you're answer is 89.5 as average

hope this helps

A) a cookie jar contains 8 chocolate chip cookies, 4 peanut butter cookies, and 7 sugar cookies. you reach in (you can't see inside) and withdraw 4 cookies without replacement. what is the probability that you got exactly 2 chocolate chip cookies?

Answers

Divided by 4 after adding the rest up

How many tens are in 3,100

Answers

310 
If you divide 3100 by 10 you get 310

Hope I helped (:
...................310

If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function?


Answers

The right answer is g(x)=(1/4x)^2 had the same question!!

Final answer:

The equation of the quadratic function f(x) = x² after a horizontal stretch by a factor of 4 is f(x) = x²/16.

Explanation:

When you horizontally stretch the quadratic parent function f(x) = x² by a factor of 4, you are stretching the function in the x-direction. This means that each x-coordinate of the graph is multiplied by the stretch factor. The new function is obtained by replacing x with x/4 in the original function. So the equation of the new function after a horizontal stretch by a factor of 4 is:

f(x) = (x/4)²

This simplifies to:

f(x) = x²/16

Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
Shipping = 2 percent of Total Cost = $ _______
What is the cost to ship this computer from Store B?

ASAP

Answers

Answer:

0.02($1,444.50)

Step-by-step explanation:

hope it helped i got it right

The required cost to ship her computer from store B is $28.89.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of a hundred.

We have been given that Sarah mailed her computer to Store B for repairs. Her bill was:

Initial Repair Cost = $1,350

Sales Tax of 7 percent = $94.50

Total Cost of Computer Repair = $1,444.50

We have to determine 2% of the total Cost of Computer Repair which is 1,444.50.

Shipping cost = 2% of 1,444.50

Convert percent into the fraction form,

Shipping cost = 2/100 × 1,444.50

convert the fraction into decimal form to get

Shipping cost = 0.02 × 1,444.50

Apply the multiplication operation, and we get

Shipping cost = $28.89

Therefore, the required cost to ship her computer from store B is $28.89.

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There were 10 horses are involved in this year’s preakness stakes. suppose you are betting to correctly pick top three finishers. from this information alone, what would be your odds of winning?

Answers

There's a 1 in 10 chance that you get the first place correct. Next, since there are 9 horses left to choose from since the same person or something can't be first and second , there's a 1 in 9 chance for second place and 1/8 for third using that logic. Multiplying them all together, we get a 1/720 chance of guessing all three right

A tank whose volume is unknown is divided into two parts by a partition. one side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 0.9 mpa, while the other side is evacuated. the partition is now removed, and the refrigerant fills the entire tank. if the final state of the refrigerant is 208c and 280 kpa, determine the volume of the tank.

Answers


 suppose you wanted the tank to hold 100 gallons of water and it was 50 gallons per cubic feet. How many cubic feet would you need? Obviously, 2 cubic feet. How did you get that?? Well, you divided 100 by 50 to get 2.

O.K., now, let's try YOUR problem. 225000 gallons and 7.5 gallons per cubic feet. How many cubic feet do you need? Must be 225,000/7.5 = 30,000 cubic feet

O.K., now we're half way there. we (should) know that the volume of a prism is

l x w x h. We now know the volume must also be 30,000

so l x w x h = 30000
100 x 20 x h = 30000

you should be able to take it from there.

Problem #2

We approach it the exact same way.

It's too hard as stated. Let's make up an easier problem.

suppose 1 gallon took up 5 cubic feet. If you had 10 cubic feet, how many gallons would you have?
well, clearly, you would have 2 gallons. How did you get it?

Now, how many cubic feet in the cylinder? Well you (should) know that the volume of a cylinder is:

Pi r^2h = 3.14 x 25^2 h = 1962.5 h

Now we have a bit of a problem. You didn't tell me how high the tank is. Let us say it is 10 feet.

So, the tank had 19,625 cubic feet.

Go back to the start of this problem and you will know what to do next.

Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x, where f(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write? {3, 4, 6, 7, 9} {3, 12, 18, 24, 27} {9, 12, 18, 21, 27} {2, 4, 6, 8, 10}

Answers

For this question, all we are going to do is plug all 5 of those numbers into the function f(x) = 3x.

The numbers we're given are {3, 4, 6, 7, 9} So lets plug them in!
3*3=9
3*4=12
3*6=18
3*7=21
3*9=27

So the answer is {9, 12, 18, 21, 27}! If you have any questions I'd be happy to help!

solve for the indicated variable. p=×+y+z for y

Answers

y = p - x - z

Hope this helps!

in 2009 there were three times as many millionares in kentucky as there were in rhode island. Together, a total of 84 thousand millionaires lived in the two states . find the number of millionaires in each of these states

Answers

Ok so the amount of millionaires in Rhode island equals x and the amount in Kentucky equals 3x and together it equals 84,000

Therefore we know x+3x=84,000 now just solve for x!
4x=84000
x=84000/4
x=21000

Hope this helps!

3⁄7  +  2⁄3  +  3⁄6 whats is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

simplify 3/6 to 1/2

Find the LCD (least common denominator) of all fractions and that would be 42

make the denominators (bottom numbers of a fraction) the same as the LCD

simplify, okay now they're all equal

join the denominators together

simplify it and u get 67/42

Lastly convert it to a mixed fraction 1 25/42.

gragh h(t) = 400 − 39t − 157e−t/4

Answers

The graph of [tex]h(t) = 400 - 39t - 157e^{ \frac{t}{4} }[/tex] is attached.

Adding fractions with uncommon denominators

Answers

find the least common denominator then change fractions to have the same denominator, add them together and then reduce the fraction if possible

well what is the question you just told us a subject in school

A display of gift boxes has 1 box in the top row. 3 boxes in the next row, 5 boxes in the next row, and so on. there are 7 rows in all. how many gift boxes are in the display?

Answers

 There is a total of 49 boxes. (1+3+5+7+9+11+13=49)
if you continue the pattern you should get 1+3+5+7+9+11+13. if you add them together you should get 49 total gifts. 

33-6(1 1/3+ 2/3)= ? what does it equal?

Answers

33 - 6(1 1/3 + 2/3)
33 - 6 ( 1 3/3)
33 - 6 ( 2)
33 - 12
21

hope this helps! : D

To solve the expression 33-6(1 1/3+ 2/3), first simplify the expression within the parentheses with the Order of Operations. Then, perform the multiplication. Finally, subtract the result from the initial value of 33.

To solve the expression 33-6(1 1/3+ 2/3), we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we simplify the expression within the parentheses:

1 1/3 + 2/3 = 2.

Next, we perform the multiplication: 6 * 2 = 12. Finally, we subtract the result from 33: 33 - 12 = 21.

Therefore, the expression 33-6(1 1/3+ 2/3) equals 21.

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Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even. what kind of proof did you use?

Answers

Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n

Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.

This is about usage of direct proof.

m + p was proved to be even using direct proof.

We are given;

m, n and p are integers

m + n and n + p are even integers.

From direct proof in Maths;

If a is an even integer, then there will exist an integer b such that;

a = 2b

Applying that to our question, we can say that;

m + n = 2b

n + p = 2c

Adding both equations together gives;

m + 2n + p = 2b + 2c

We want to find if m + p is even. Thus, let's rearrange to get them on one side;

m + p = 2b + 2c - 2n

Factorizing, we have;

m + p = 2(b + c - n)

From earlier, b, c and n are integers. Therefore, from earlier formula about direct proof of even integers, we can equally say that m + p is also even.

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To find the number of miles in 100 kilometers

Answers

there are 62.1371 miles in 100 kilometers.
100 kilometers = 62.1371 miles

The dashed triangle is the image of the pre-image solid triangle.

What is the scale factor used to create the dilation?

Answers

The scale factor  is 4.

see the attached figure with letters to better understand the problem  

we know that

the scale factor is equal to

[tex]scale\ factor=\frac{A'B'}{AB}[/tex] or  [tex]scale\ factor=\frac{B'C'}{BC}[/tex]

we have

[tex]A'B'=8\ units \\AB=2\ units[/tex]

substitute in the formula

[tex]scale\ factor=\frac{8}{2}[/tex]

[tex]scale\ factor=4[/tex]

therefore

the answer is

the scale factor is equal to [tex]4[/tex]

if one out of every 12 students at a school share a locker,how many share a locker in a school of 456 students?

Answers

1 out of 12 can be written as 1/12

 now multiply 456 by 1/2

this is the same as dividing 456 by 12

456/12 = 38 students share a locker

456/12=38

answer
38 share lockers
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