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47. Prove that the imaginary part of the solution of z" + z' + z = te' is a solution of y"+y' +y=t sin t. Use this idea to find a particular solution of y" + y' + y = t sin t.

47. Prove that the imaginary part of the solution of z" + z' + z = te' is a solution of y"+y' +y=t sin t. Use this idea to find a particular solution of y" + y' + y = t sin t.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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47. Prove that the imaginary part of the solution of z" + z' + z = te" is a solution of y"+ y'+y = t sin t. Use this idea to find a particular solution of y" + y' + y = t sin t.
Transcribed Image Text:47. Prove that the imaginary part of the solution of z" + z' + z = te" is a solution of y"+ y'+y = t sin t. Use this idea to find a particular solution of y" + y' + y = t sin t.
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