Give the form of a particular solution of the differential equation y"+ 10y'+ 25 y =e"* sin (2 x) – 4x )-4 e3* - 4x -5x z=Ae*cos(2x) + Be** sin (2 x) + Cxe 4x 4x -5x +Ex+F b) O z=Ae** sin (2x) + C'e 4x -5x + Ex +F c) z=Ae** sin (2x) + Ce 4x -5x + Ex d) z=Ae**cos(2 x) +Be* sin (2x) + cre*. +Ex+F z=Ae** sin(2x) + Cre -5x + Ex f) None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Give the form of a particular solution of the differential equation
4x
-5x
y"+ 10y'+ 25 y =e"* sin (2 x) –
)-4 e3* - 4x
z=Ae*cos(2x) + Be** sin (2 x) + Cxe
4x
4x
-5x
+Ex+F
b) O z=Ae** sin (2x) + C'e
4x
-5x
+ Ex +F
c)
z=Ae** sin (2x) + Ce
4x
-5x
+ Ex
d)
z=Ae**cos(2 x) + Be* sin (2x) + cre*.
+Ex+F
z=Ae** sin(2x) + Cre
-5x
+ Ex
f) O None of the above.
Transcribed Image Text:Give the form of a particular solution of the differential equation 4x -5x y"+ 10y'+ 25 y =e"* sin (2 x) – )-4 e3* - 4x z=Ae*cos(2x) + Be** sin (2 x) + Cxe 4x 4x -5x +Ex+F b) O z=Ae** sin (2x) + C'e 4x -5x + Ex +F c) z=Ae** sin (2x) + Ce 4x -5x + Ex d) z=Ae**cos(2 x) + Be* sin (2x) + cre*. +Ex+F z=Ae** sin(2x) + Cre -5x + Ex f) O None of the above.
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