1. 2. 3. dx dt d²x + 7x = 5cos2t dt² d²x dt² dx +6 + 8x = 5sin3t dt dx + 8 dt + 25x = 10u(t)

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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Please solve for the following general equations of the ODE, and also please explain it so that i can review it myself. Thank you

1.
2.
3.
dx
+ 7x = 5cos2t
dt
d²x
dt²
d²x
dt²
dx
+ 6 + 8x = 5sin3t
10u(t)
+ 8
dt
dx
dt
+ 25x
=
Transcribed Image Text:1. 2. 3. dx + 7x = 5cos2t dt d²x dt² d²x dt² dx + 6 + 8x = 5sin3t 10u(t) + 8 dt dx dt + 25x =
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If possible, Can you please explain the solutions above in WORDS, I already understand the gist of it. I just want to make sure it is right. Thank you very much, hope you can help me understand this more. 

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