An interesting analysis results from playing with the equation of stefan's law. For dT/dt = k(M4-T4), let

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An interesting analysis results from playing with the equation of stefan's law. For dT/dt = k(M4-T4), let k = 0.05, M = 3 T(0) = 4
(a) Estimate T(1) by Euler's method with step sizes h = 0.25, h = 0.1
(b) Graph a direction field and both multistep approximations from (a). Explain why and how the approximations from (a) take different routes.
(c) Find an equilibrium solution; relate it to (a) and (b).
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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