   Chapter 12, Problem 17T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Find the general solution of the separable differential equation d y d x = x 3 y 2 .

To determine

To calculate: The general solution of the separable differential equation dydx=x3y2.

Explanation

Given information:

The provided differential equation is,

dydx=x3y2

Formula used:

Solution of the separable differential equation:

The solution of separable differential equation can be obtained by integrating both the sides of the equation after the variables have been separated.

ydy=xdx or y=xdx+C

Calculation:

Consider the provided equation,

dydx=x3y2

Consider the formula,

First separate the variable as,

dyy2=x3dx

Integrate both the sides to get,

dyy2=

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