Solved: Separable differential equations Determine whether

Chapter 7, Problem 28E

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QUESTION:

Separable differential equations Determine whether the following equations are separable. If so, solve the given initial value problem.

\(y^{\prime}(t)=y\left(4 t^{3}+1\right), \ y(0)=4\)

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QUESTION:

Separable differential equations Determine whether the following equations are separable. If so, solve the given initial value problem.

\(y^{\prime}(t)=y\left(4 t^{3}+1\right), \ y(0)=4\)

ANSWER:

Problem 28ESeparable differential equations Determine whether the following equations are separable. If so, solve the given initial value problem. SolutionStep 1In this problem we have to check whether the given equation is separable or not and if they are separable we have to solve the given initial value problem.A separable differential equation is any differential equation that we can write in the following form. . In order for a differential equation to be separable all the y's in the differential equation must be multiplied by the derivative of and all the x's in the differential equation must be on the other side of the equal sign. That is

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