Find the general solutions of the following differential equations. d²y d'y dy d’y (a) +4 +4y = 5 cos 2.x (b) +16y = 2x – x? dx? dx dx? d y dy (c) 3- +3y = 14e** dx? dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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13. Find the general solutions of the following differential equations.
(a)
dr?
d²y
dy
+4
+ 4y = 5 cos 2x
(b)
dx?
d²y
+16y = 2x – x?
dx
d y
dy
3
+3y
dx
(c)
=14e4*
dx?
Transcribed Image Text:13. Find the general solutions of the following differential equations. (a) dr? d²y dy +4 + 4y = 5 cos 2x (b) dx? d²y +16y = 2x – x? dx d y dy 3 +3y dx (c) =14e4* dx?
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