Which one of the following is a particular solution to the differential equation y" + 2y' + 10y = re- sin 3x? %3D Select one: O a. None of these b. yp = x(A1x + Ao)e² cos 3x + (B1x + Bo)e sin 3x O c. Yp = (A1r + Ap)e cos 3z + (B1x + Bo)e sin 3z O d. yp = x(A1 + Ap)e cos 3x + x(B1x+ Bo)e sin 3r %3D O e. yp = x(B1z + B0)e sin 3x
Which one of the following is a particular solution to the differential equation y" + 2y' + 10y = re- sin 3x? %3D Select one: O a. None of these b. yp = x(A1x + Ao)e² cos 3x + (B1x + Bo)e sin 3x O c. Yp = (A1r + Ap)e cos 3z + (B1x + Bo)e sin 3z O d. yp = x(A1 + Ap)e cos 3x + x(B1x+ Bo)e sin 3r %3D O e. yp = x(B1z + B0)e sin 3x
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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Transcribed Image Text:Which one of the following is a particular solution to the differential
equation y" + 2y' + 10y = re- sin 3x?
Select one:
O a. None of these
O b. yp = r(Ar + Ag)e# cos 3a + x(B1x + Bo)e sin 3x
O c. Yp = (A1¤ + A9)e cos 3æ + (B1x + Bo)e sin 3r
O d. yp = r(A,x + Ao)e cos 3x + x(B1r+ Bo)e sin 3x
O e. Yp = ¤(B1z + B0)e sin 3x
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