9) (D-1)y e' sin e+ cose. Ans.: y=Ce+Ce-e' sine".

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solution of non-homogeneous lineas
5) (D-D+2)y,
de with constant coefficients
9) (D -1)y = e sin e +cose.
Ans.: y=Ce +Ce*-e* sine.
10) y"+oy=t(sin ox + coson),
y(0) = y'(0) = 0.
(sin ot- cos or)
40
Ans.: y:
(sino + cosar)+
40
-.sinex
11) y-y=
(1+e)?
Ans.: y= Ce +Ce* +e* In(l +e*)-+
2(1+e) 2(1+e)
Transcribed Image Text:Solution of non-homogeneous lineas 5) (D-D+2)y, de with constant coefficients 9) (D -1)y = e sin e +cose. Ans.: y=Ce +Ce*-e* sine. 10) y"+oy=t(sin ox + coson), y(0) = y'(0) = 0. (sin ot- cos or) 40 Ans.: y: (sino + cosar)+ 40 -.sinex 11) y-y= (1+e)? Ans.: y= Ce +Ce* +e* In(l +e*)-+ 2(1+e) 2(1+e)
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