Given dy / dx = 200,000 y + 200,000 e x e x (a) Estimate

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Given

dy/dx = – 200,000y + 200,000e^–x – e^–x

(a) Estimate the step-size required to maintain stability using the explicit Euler method.

(b) If y(0) = 0, use the implicit Euler to obtain a solution from x =0 to 2 using a step size of 0.1.

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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 dy / dx = 200,000 y + 200,000 e x e x (a) Estimate

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a h 2200000 1 x 10 5 b The implicit Euler can be written for this ...View the full answer

Numerical Methods For Engineers

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