Give the form of a particular solution of the differential equation y"+y' – 20 y=4 cos(2 x) + 3 e¯$× – 2 a) O z=A cos(2 x) + B sin(2 x) + Cxes+ E b) O z=A cos(2 x) + B x e$* +c c) O z=A cos(2 x) + B sin(2 x) + Ce³*+E -5x d) O z=A cos(2 x) + Be+C -5x e) O z=A cos(2 x) + B sin(2 x) + Ce+Ex

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Give the form of a particular solution of the differential equation
-5x
y"+y' – 20 y= 4 cos(2 x) + 3 e$ * – 2
-5 x
a) O z=A cos(2 x) + B sin(2 x) +Cxe³*+E
-5 x
b) O z=A cos(2 x) + Bx e* +c
c) O z= A cos(2 x) + B sin(2 x) + C e¯³* + E
-5 x
d) O z=A cos(2 x) + Be* + C
-5 x
z= A cos(2 x) + B sin(2 x) + Ce + E x
f) O None of the above.
Transcribed Image Text:Give the form of a particular solution of the differential equation -5x y"+y' – 20 y= 4 cos(2 x) + 3 e$ * – 2 -5 x a) O z=A cos(2 x) + B sin(2 x) +Cxe³*+E -5 x b) O z=A cos(2 x) + Bx e* +c c) O z= A cos(2 x) + B sin(2 x) + C e¯³* + E -5 x d) O z=A cos(2 x) + Be* + C -5 x z= A cos(2 x) + B sin(2 x) + Ce + E x f) O None of the above.
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