(c) d²x dx dt dt Ix-0 +6+25x=e* with x(0)=0, dx dt Ix=0 = 0.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the complete time-domain solutions for the following differential equations using
Laplace transforms.
(a)
(c)
d³x
dt³
+8x=et with x(0)=0,
d²x dx
dt² dt
dx
dt
1x=0
+6 +25x=et with x(0)=0,
d²x
dt²
dx
dt
Ix=0
=0.
= 0.
Transcribed Image Text:Find the complete time-domain solutions for the following differential equations using Laplace transforms. (a) (c) d³x dt³ +8x=et with x(0)=0, d²x dx dt² dt dx dt 1x=0 +6 +25x=et with x(0)=0, d²x dt² dx dt Ix=0 =0. = 0.
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