   Chapter 12.5, Problem 5E ### 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. 5.   d y = x e x 2 + 1   d x

To determine

To calculate: The general solution to the differential equation dy=xex2+1dx.

Explanation

Given Information:

The provided differential equation is dy=xex2+1dx.

Formula used:

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

The integration formula of exponential function is exdx=ex+C.

Calculation:

Consider the differential equation, dy=xex2+1dx

Integrate both sides of the equation,

dy=xex2+1dx

Multiply and divide by 2.

dy=122xex2+1dxy=12ex2+12xdx

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