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d?x dy -y = 0, dt? dt dx 2- dt dz +- z = 0, dt dx dy + 3x + dt -4y+ 3z 0; dt dx x(0) = 0, (0) = = 1, y(0) = 0, z(0) = 0 dt

d?x dy -y = 0, dt? dt dx 2- dt dz +- z = 0, dt dx dy + 3x + dt -4y+ 3z 0; dt dx x(0) = 0, (0) = = 1, y(0) = 0, z(0) = 0 dt

Advanced Engineering Mathematics
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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Use the Laplace Transform method to solve the given system:

 

d?x dy - y = 0, dt? dt dx dz 2 +- z = 0, dt dt dx + 3x + dt ay – 4y + 3z = 0; dt dx x(0) = 0, (0) = 1, y(0) = 0, z(0) = 0 dt
Transcribed Image Text:d?x dy - y = 0, dt? dt dx dz 2 +- z = 0, dt dt dx + 3x + dt ay – 4y + 3z = 0; dt dx x(0) = 0, (0) = 1, y(0) = 0, z(0) = 0 dt
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