In as in Example 2 to find the general solution

Chapter 4, Problem 7E

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QUESTION:

In Problems 7–12 proceed as in Example 2 to find the general solution of the given differential equation. Use the results obtained in Problems 1–6. Do not evaluate the integral that defines \(y_{p}(x)\).

\(y^{\prime \prime}-16 y=x e^{-2 x}\)

Text Transcription:

y_p x

y^prime prime-16 y=x e^-2 x

Questions & Answers

QUESTION:

In Problems 7–12 proceed as in Example 2 to find the general solution of the given differential equation. Use the results obtained in Problems 1–6. Do not evaluate the integral that defines \(y_{p}(x)\).

\(y^{\prime \prime}-16 y=x e^{-2 x}\)

Text Transcription:

y_p x

y^prime prime-16 y=x e^-2 x

ANSWER:

Solution

Step 1 of 4

In this problem we have to determine the general solution of the given differential equation using the predefined particular solution.

Given differential equation

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