Find the general solutions of the following differential equations. d'y dy +4 +9y = 4e" d'y dy - 3y 5 cos 2x (a) (b) +2 dx d'y dr dx dx (c) dx dy +2y =1-4x dx d'y ,dy +4 +4y 4 sin 2x dx (d) dx dy (e) dx – 3y = 10e2* 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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Parts b,c,d and e please
Find the general solutions of the following differential equations.
d²y
+4
dr
dy
d²y
(a)
dy
+2
dr?
+9y = 4e"
(b)
– 3y= 5 cos 2x
dr
dx
d²y
dy
(c)
-2
+2y =1-4x²
(d)
dx*
+4y = 4 sin 2x
dx
dx
dx
d²y
dx
dy
-2
– 3y =10e¯2*
dx
(e)
Transcribed Image Text:Find the general solutions of the following differential equations. d²y +4 dr dy d²y (a) dy +2 dr? +9y = 4e" (b) – 3y= 5 cos 2x dr dx d²y dy (c) -2 +2y =1-4x² (d) dx* +4y = 4 sin 2x dx dx dx d²y dx dy -2 – 3y =10e¯2* dx (e)
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