The following nonlinear, parasitic ODE was suggested by Hornbeck (1975): dy1/dt = 5(yl t2) If the
Question:
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.
(c) Using the MATLAB function 0DE45.
(d) Using the MATLAB function ODEZ3S.
(e) Using the MATLAB function ODE23TB.
Present your results in graphical form.
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a The exact solution is If the initial condition at t 0 is ...View the full answer
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Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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