8) Solve the non-homogeneous linear equation. Find the most general solution. у" — Зу" — 2y'+ бу — п? a) y= ce3x + c2evZx + Cze¬vZx b) y = c + cze¯* + cze** + c) y = + d) y= c1x + Cze¬x + c3e4x + n²2 e) y= ce3x + Czev2x + C3e¬v2x +n²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8) Solve the non-homogeneous linear equation. Find the most general solution.
у" — Зу" — 2y' + бу — п?
a) y = ce3x + czevzx + c3e¬vZx
+
b) y = c, + c2e¬* + c3e** +
6
c)
d) y = c1x + Cze¬x + cze4x + n²
e) y = ce3x + czevZx
+ Cze-vžx
+n²
Transcribed Image Text:8) Solve the non-homogeneous linear equation. Find the most general solution. у" — Зу" — 2y' + бу — п? a) y = ce3x + czevzx + c3e¬vZx + b) y = c, + c2e¬* + c3e** + 6 c) d) y = c1x + Cze¬x + cze4x + n² e) y = ce3x + czevZx + Cze-vžx +n²
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