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4. Find a particular solution (without solving for the coefficients) of y(8) –2y(7) +4y(6) –81y(4) +162y3) –324y" = cos(v3x)+4sin(r)-9 cos(x)+7æ³-;xe" sin(v3r)-5e* (Hint: y(x) = e² cos(/3x) is a solution of the associated homogeneous equation)

4. Find a particular solution (without solving for the coefficients) of y(8) –2y(7) +4y(6) –81y(4) +162y3) –324y" = cos(v3x)+4sin(r)-9 cos(x)+7æ³-;xe" sin(v3r)-5e* (Hint: y(x) = e² cos(/3x) is a solution of the associated homogeneous equation)

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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4. Find a particular solution (without solving for the coefficients) of y(8) –2y(7) +4y(6) –81y(4) +162y3) –324y" = cos(v3x)+4sin(r)-9 cos(x)+7æ³-;xe" sin(v3r)-5e* (Hint: y(x) = e² cos(/3x) is a solution of the associated homogeneous equation)
Transcribed Image Text:4. Find a particular solution (without solving for the coefficients) of y(8) –2y(7) +4y(6) –81y(4) +162y3) –324y" = cos(v3x)+4sin(r)-9 cos(x)+7æ³-;xe" sin(v3r)-5e* (Hint: y(x) = e² cos(/3x) is a solution of the associated homogeneous equation)
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