Use Laplace transform methods to solve the simultaneous differential equations dx dt dy dt - 5dy =

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Use Laplace transform methods to solve the simultaneous differential equations

dx dt dy dt - 5dy = t dt x+ 5 dy - 4y - 2dx = -2 dt subject to x=y= dx dt dy dt = 0 at t = 0.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 19, 2024 02:04 AM

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Use Laplace transform methods to solve the simultaneous differential equations dx dt dy dt - 5dy =

Question:

dx dt dy dt - 5dy = t dt x+ 5 dy - 4y - 2dx = -2 dt subject to x=y= dx dt dy dt = 0 at t = 0.

Step by Step Answer:

Taking Laplace transforms Eliminating Ys s 1Xs 5sYs 2sXs s4Ys 54 s 1s4 2s5sXs 1 1...View the full answer

Modern Engineering Mathematics

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