   Chapter 12, Problem 15T ### 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 and 16, find the particular solution to each differential equation. y ' = 4 x 3 + 3 x 2 ,  if y ( 0 ) = 4

To determine

To calculate: The particular solution to the differential equation y=4x3+3x2, if y(0)=4.

Explanation

Given information:

The provided differential equation is:

y=4x3+3x2

Formula used:

Solution of the differential equation:

The solution to the equation of the form y=f(x) is given by:

f(x)=f(x)dx

Calculation:

Consider the provided equation,

y=4x3+3x2

Consider the formula,

f(x)=f(x)dx

Substitute 4x3+3x2 for f(x) in above equation to get,

f(x)=(4x3+3x2)dx=

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