Find the general solution of the DE:

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


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

Become a member to unlock this answer!

View this answer

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.


See full answer below.

Learn more about this topic:

Separable Differential Equation: Definition & Examples


Chapter 16 / Lesson 1

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.

Related to this Question

Explore our homework questions and answers library