   Chapter 12, Problem 29RE ### 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 27-32, find the general solution to each differential equation. 29.   d y d x = 4 x y − 3

To determine

To calculate: The general solution to the provided differential equation dydx=4xy3.

Explanation

Given Information:

The provided differential equation is, dydx=4xy3.

Formula used:

The differential equation can be equivalently expressed as,

g(y)dy=f(x)dx

So, the equation is separable. So, integrate the above equation on both sides,

g(y)dy=f(x)dx

Calculation:

Consider the provided differential equation,

dydx=4xy3

The equation is in separable form. So, separate the equation as,

(y3)dy=4xdx

Integrate both sides to get,

(y3)dy=

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