Given the first-order ODE dx/dt= -700x - 1000e-1 x(t = 0) = 4 Solve this stiff differential

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Given the first-order ODE

dx/dt= -700x - 1000e-1

x(t = 0) = 4

Solve this stiff differential equation using a numerical method over the time period 0 ≤ t ≤ 5. Also solve analytically and plot the analytic and numerical solution for both the fast transient and slow transition phase of the timescale.

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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 the first-order ODE dx/dt= -700x - 1000e-1 x(t = 0) = 4 Solve this stiff differential

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Analytic solution Take Laplace transform Substituting the initial condition and expanding t...View the full answer

Numerical Methods For Engineers

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