(a) By inspection find a particular solution of (b) By

Chapter 4, Problem 36E

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QUESTION:

(a) By inspection find a particular solution of \(y^{\prime \prime}+2 y=10\).

(b) By inspection find a particular solution of \(y^{\prime \prime}+2 y=-4 x\).

(c) Find a particular solution of \(y^{\prime \prime}+2 y=-4 x+10 \text {. }\)

(d) Find a particular solution of \(y^{\prime \prime}+2 y=8 x+5\).

Text Transcription:

y^{\prime \prime}+2 y=10

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

y^{\prime \prime}+2 y=-4 x+10 \text {. }

y^{\prime \prime}+2 y=8 x+5

Questions & Answers

QUESTION:

(a) By inspection find a particular solution of \(y^{\prime \prime}+2 y=10\).

(b) By inspection find a particular solution of \(y^{\prime \prime}+2 y=-4 x\).

(c) Find a particular solution of \(y^{\prime \prime}+2 y=-4 x+10 \text {. }\)

(d) Find a particular solution of \(y^{\prime \prime}+2 y=8 x+5\).

Text Transcription:

y^{\prime \prime}+2 y=10

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

y^{\prime \prime}+2 y=-4 x+10 \text {. }

y^{\prime \prime}+2 y=8 x+5

ANSWER:

Step 1 of 5

(a)

In this part, we need to find the Particular Integral(PI) of  

Characteristic equation is

Rewrite this integral as

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