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2 years ago

7

Pleeeeeeeeeease I really need help and an explanation

1 answer:

Mama L [17]2 years ago

8 0

The answer is c because the picture is a graph and it goes with 7.4 and its not decimals its a graph which means the answer is c

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Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators

Nata [24]

Answer:

The solution is $y=-\frac{12}{12x-30x^2+1}$ .

Step-by-step explanation:

A first order differential equation $y'=f(x,y)$ is called a separable equation if the function $f(x,y)$ can be factored into the product of two functions of $x$ and $y$ :

$f(x,y)=p(x)h(y)$

where $p(x)$ and $h(y)$ are continuous functions.

We have the following differential equation

$y'=(1-5x)y^2, \quad y(0)=-12$

In the given case $p(x)=1-5x$ and $h(y)=y^2$ .

We divide the equation by $h(y)$ and move $dx$ to the right side:

$\frac{1}{y^2}dy\:=(1-5x)dx$

Next, integrate both sides:

$\int \frac{1}{y^2}dy\:=\int(1-5x)dx\\\\-\frac{1}{y}=x-\frac{5x^2}{2}+C$

Now, we solve for $y$

$-\frac{1}{y}=x-\frac{5x^2}{2}+C\\-\frac{1}{y}\cdot \:2y=x\cdot \:2y-\frac{5x^2}{2}\cdot \:2y+C\cdot \:2y\\-2=2yx-5yx^2+2Cy\\y\left(2x-5x^2+2C\right)=-2\\\\y=-\frac{2}{2x-5x^2+2C}$

We use the initial condition $y(0)=-12$ to find the value of C.

$-12=-\frac{2}{2\left(0\right)-5\left(0\right)^2+2C}\\-12=-\frac{1}{c}\\c=\frac{1}{12}$

Therefore,

$y=-\frac{2}{2x-5x^2+2(\frac{1}{12})}\\y=-\frac{12}{12x-30x^2+1}$

4 0

2 years ago

Ur wrong its acutully 39.8 not 39.75 u came up with the wrong answer.

alukav5142 [94]

It is 39.8 your right

3 0

2 years ago

Change the unit of capacity 12 c = qt

sattari [20]

Answer:

Step-by-step explanation:

Comment

There are 4 cups in a quart.

There are 12 cups in x quarts.

Solution

4/12 = 1 / x Cross multiply

4x = 12*1 Combine

4x = 12 Divide both sides by 4

4x/4 = 12/4

x = 3 quarts

Answer

3 quarts.

3 0

1 year ago

Read 2 more answers

Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3?

Natalija [7]

Y = (x - 2)/3
3y = x - 2
x = 3y + 2

Therefore, the inverse of y = (x - 2)/3 is y = 3x + 2

6 0

2 years ago

What is the price of one crate of flowers?

Elza [17]

Answer:

the answer is $2.50

Step-by-step explanation:

i just did the assignment

3 0

2 years ago