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Calculus / A First Course in Differential Equations with Modeling Applications 10 / Chapter 4.7 / Problem 22E

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

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Solution: In 19–24 solve the given differential equation by

Chapter 4, Problem 22E

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QUESTION:

In Problems 19–24 solve the given differential equation by variation of parameters.

\(x^{2} y^{\prime \prime}-2 x y^{\prime}+2 y=x^{4} e^{x}\)

Text Transcription:

x^2 y^prime prime-2 x y^prime+2 y=x^4 e^x

Questions & Answers

QUESTION:

In Problems 19–24 solve the given differential equation by variation of parameters.

\(x^{2} y^{\prime \prime}-2 x y^{\prime}+2 y=x^{4} e^{x}\)

Text Transcription:

x^2 y^prime prime-2 x y^prime+2 y=x^4 e^x

ANSWER:

Step 1 of 5

In this problem, we are asked to solve the given differential equation using separation of variables.

....(a)

The general solution will be of the form

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