20. Solve the following differential equa- tions using classical methods and the given initial conditions: [Review] d²x dx a. dt² +2+2x = sin2t dt dx x(0) = 2; (0) = -3 dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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20. Solve the following differential equa-
tions using classical methods and the
given initial conditions: [Review]
C
d²x dx
+2:
a.
+ 2x = sin2t
dt²
dt
dx
x(0) = 2;
(0) = -3
dt
d²x
dx
-2t
+2-
+ x = 5e¯
d1²
dt
dx
x(0) = 2;
(0) =
= 1
dt
b.
+t
Transcribed Image Text:20. Solve the following differential equa- tions using classical methods and the given initial conditions: [Review] C d²x dx +2: a. + 2x = sin2t dt² dt dx x(0) = 2; (0) = -3 dt d²x dx -2t +2- + x = 5e¯ d1² dt dx x(0) = 2; (0) = = 1 dt b. +t
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