   Chapter 12.5, Problem 22E ### 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. 22.   y   d x = x   d y

To determine

To calculate: The general solution to the differential equation ydx=xdy.

Explanation

Given Information:

The provided differential equation is ydx=xdy.

Formula used:

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

g(y)dy=f(x)dx

The logarithmic formula of integration is,

1xdx=ln|x|+C

Calculation:

Consider the differential equation,

ydx=xdy

Rearrange the equation as,

1xdx=1ydy

Integrate both sides of the equation,

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