Find the general solution of the linear differential equations. (D³ - D² +D-1]y= 4sin x a. y = C,e* + C2 cos x + C3 sin x + x coS x + x sin x b. y = C,ex + C2 cos x + C3 sin x + x cos x +x sin x c. y = Ce* + C2 cos x + C3 sin x + x cos x – x sin x d. y = C,e* + C2 cos x + C3 sin x – x cos x - x sin x e. none of these

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the general solution of the linear differential equations.
(D³ - D² +D-1]y= 4sin x
a. y = C,e* + C2 cos x + C3 sin x + x coS x + x sin x
b. y = C,ex + C2 cos x + C3 sin x + x cos x +x sin x
c. y = Ce* + C2 cos x + C3 sin x + x cos x – x sin x
d. y = C,e* + C2 cos x + C3 sin x – x cos x - x sin x
e. none of these
Transcribed Image Text:Find the general solution of the linear differential equations. (D³ - D² +D-1]y= 4sin x a. y = C,e* + C2 cos x + C3 sin x + x coS x + x sin x b. y = C,ex + C2 cos x + C3 sin x + x cos x +x sin x c. y = Ce* + C2 cos x + C3 sin x + x cos x – x sin x d. y = C,e* + C2 cos x + C3 sin x – x cos x - x sin x e. none of these
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