Use the Laplace Transform method to solve the given system d²x (b) +- y = 0, dt2 dt dx dz 2 - x + - z = 0, dt dt dy – 4y + 3z = 0; dt dx + 3x + dt dx x(0) = 0, (0) = 1, y(0) = 0, z(0) = 0. %3D dt
Use the Laplace Transform method to solve the given system d²x (b) +- y = 0, dt2 dt dx dz 2 - x + - z = 0, dt dt dy – 4y + 3z = 0; dt dx + 3x + dt dx x(0) = 0, (0) = 1, y(0) = 0, z(0) = 0. %3D dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please provide soln to 4.b in the picture
Transcribed Image Text:4. Use the Laplace Transform method to solve the given system
d²x
(b) +
dy
- y = 0,
dt2
dt
dx
dz
2-
x +
dt
-z = 0,
dt
-
dy – 4y + 3z = 0;
dx
+ 3x +
dt
-
dt
dx
x(0) = 0, (0) = 1, y(0) = 0,
z(0) = 0.
dt
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