Find the general solution of the DE:

{eq}y' = (y^2 + y^2 \cos x)^2 {/eq}

Question:

Find the general solution of the DE:

{eq}y' = (y^2 + y^2 \cos x)^2 {/eq}

Differential Equation:

{eq}y'(x)=f(x) {/eq} means derivative of {eq}y {/eq} is {eq}f(x). {/eq} In some equations, we may give the derivative of {eq}y {/eq} but not {eq}y {/eq}. Our duty is to find the function which gives that particular derivative.

We call such equations as a differential equation.

There are various types of differential equations and various methods for solving them.

Answer and Explanation: 1

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We are asked to find the general solution of {eq}y' = (y^2 + y^2 \cos x)^2. {/eq}

We try to rewrite it as a variable separable form.

{eq}\displayst...

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Separable Differential Equation: Definition & Examples

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Chapter 16 / Lesson 1
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Discover what separable differential equations are and their uses. Learn to identify if an equation is separable and how to solve them through given examples.


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