Given dxl/dt = 1999x1 + 2999x2 dx2/dt = 2000xl 3000x2 If x1(0) x2(0) = 1, obtain

Question:

Given

dxl/dt = 1999x1 + 2999x2

dx2/dt = –2000xl – 3000x2

If x1(0) x2(0) = 1, obtain a solution from t = 0 to 0.2 using a step size of 0.05 with the

(a) Explicit and

(b) Implicit Euler methods.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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Question Posted: Dec 13, 2011 10:11 AM

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Given dxl/dt = 1999x1 + 2999x2 dx2/dt = 2000xl 3000x2 If x1(0) x2(0) = 1, obtain

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Step by Step Answer:

a The explicit Euler can be written for this problem as Because the stepsize is much too large for t...View the full answer

Numerical Methods For Engineers

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