   Chapter 12.5, Problem 19E ### 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

# In Problems 15-28, find the general solution to the given differential equation. 19.   d x = ( x 2 y 2 + x 2 ) d y

To determine

To calculate: The general solution to the differential equation dx=(x2y2+x2)dy.

Explanation

Given Information:

The provided differential equation is dx=(x2y2+x2)dy.

Formula used:

Solution of the differential equation g(y)dy=f(x)dx is g(y)dy=f(x)dx.

The power of x formula of integration is xndx=xn+1n+1+C, where n1.

Calculation:

Consider the differential equation, dx=(x2y2+x2)dy

Rearrange the equation as,

dx=x2(y2+1)dydxx2=(y2+1)

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