The following nonlinear, parasitic ODE was suggested by Hornbeck (1975) dy1 dt 5(yl t2) If the initial condition is y1(0) 0 08, obtain a solution from 0 to 5 (a) Analytically (b) Using the fourth order RK method with a constant step size of 0 03125 (c) Using the MATLAB function 0DE45 (d) Using the ...

a The exact solution is If the initial condition at t 0 is ...

The following nonlinear, parasitic ODE was suggested by Hornbeck (1975): dy1/dt = 5(yl t2) If the

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The following nonlinear, parasitic ODE was suggested by Hornbeck (1975):

dy1/dt = 5(yl – t2)

If the initial condition is y1(0) = 0.08, obtain a solution from τ = 0 to 5:

(a) Analytically.

(b) Using the fourth-order RK method with a constant step size of 0.03125.

(d) Using the MATLAB function ODEZ3S.

(e) Using the MATLAB function ODE23TB.

Present your results in graphical form.

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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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The following nonlinear, parasitic ODE was suggested by Hornbeck (1975): dy1/dt = 5(yl t2) If the

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