Solve the following simultaneous DE using Laplace transforms. 1. dx 2 + dy dt Бет = dt dy · 3 d = 5 given that when t = 0, x = 0 and y = 0. dt 2.

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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Solve the following simultaneous DE using Laplace transforms.
1.
dy
dx
2 +
dt
Бет
=
dt
dy
3 d = 5 given that when t = 0, x =
= 0, x = 0 and y = 0.
dt
dt
y + x + dx
5 sin t = 0
dt
y + 2 da
dt
2.
dy
2
-
dt
dy
3 +x
dt
-
- et = 0
O given that at t=0, x = 0 and y = 0.
Transcribed Image Text:Solve the following simultaneous DE using Laplace transforms. 1. dy dx 2 + dt Бет = dt dy 3 d = 5 given that when t = 0, x = = 0, x = 0 and y = 0. dt dt y + x + dx 5 sin t = 0 dt y + 2 da dt 2. dy 2 - dt dy 3 +x dt - - et = 0 O given that at t=0, x = 0 and y = 0.
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