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

Question

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## Answers ( )

Answer:The solution is .

Step-by-step explanation:A first order differential equation is called a

separable equationif the function can be factored into the product of two functions of and :where and are continuous functions.

We have the following differential equation

In the given case and .

We divide the equation by and move to the right side:

Next, integrate both sides:

Now, we solve for

We use the initial condition to find the value of C.

Therefore,