Consider the differential equation y = f(t, y), ab. Part (a) suggests the difference
Chapter 5, Problem 4(choose chapter or problem)
Consider the differential equation y = f(t, y), ab. Part (a) suggests the difference method vf,+2 = 4h'(+i 3wi 2hf(ti,Wi), for i = 0, I,... , N 2. Use this method to solve y' = l-y, 0'(0) = 0, with h =0.1. Use the starting values wo = 0 and W] = y(t]) = 1 e~0 - ] . c. Repeat part (b) with h 0.01 and wi = I e~001 . d. Analyze this method for consistency, stability, and convergence.
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