Question: Given dy / dx = 200,000 y + 200,000 e x e x (a) Estimate the step-size required to maintain stability using the

Given

dy/dx = – 200,000y + 200,000e–x – e–x

(a) Estimate the step-size required to maintain stability using the explicit Euler method.

(b) If y(0) = 0, use the implicit Euler to obtain a solution from x =0 to 2 using a step size of 0.1.

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