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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential equation that satisfies the initial condition(s).

f ' ( x ) = 6 x , f ( 0 ) = 8

To determine

To calculate: The expression for the particular solution of the differential equation given as, f(x)=6x will be. Given that it satisfies the initial condition, f(0)=8.

Explanation

Given:

The differential equation is f(x)=6x and the initial condition is f(0)=8.

Formula used:

The formula for integration of a function, xn is given as,

xndx=xn+1n+1+C

Calculation:

Consider the differential equation given as,

f(x)=6x

Integrate both the left hand as well as the right-hand side as,

f(x)dx=6xdxf

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