   Chapter 12, Problem 34RE ### 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 33 and 34, find the particular solution to each differential equation. 34.   y '= 2 x 1 + 2 y '       y ( 2 ) = 0

To determine

To calculate: The particular solution to the provided differential equation y=2x1+2y when y(2)=0.

Explanation

Given Information:

The provided differential equation is, y=2x1+2y.

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:

y=2x1+2y

Write the equation in the separable form as,

dydx=2x1+2y

The equation is in separable form

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