   Chapter 12.5, Problem 9E ### 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 5-10, use integration to find the general solution to each differential equation. 9.   3 y 2   d y = ( 2 x − 1 )   d x

To determine

To calculate: The general solution to the differential equation 3y2dy=(2x1)dx.

Explanation

Given Information:

The provided differential equation is 3y2dy=(2x1)dx.

Formula used:

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

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

Calculation:

Consider the differential equation, 3y2dy=(2x1)dx

Integrate both sides of the equation,

3y2</

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