1. Solve the following linear differential equations with constant coefficients:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Solve the following linear differential equations with constant coefficients:
(i) (D² - 2D + 1) y = x² e³, (ii) (D4 - 1) y = e cos x,
(iii) (D² - 2D + 1) y = x e sinx, (iv) (D² + 2D + 1) y
=rcOS T.
Transcribed Image Text:1. Solve the following linear differential equations with constant coefficients: (i) (D² - 2D + 1) y = x² e³, (ii) (D4 - 1) y = e cos x, (iii) (D² - 2D + 1) y = x e sinx, (iv) (D² + 2D + 1) y =rcOS T.
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