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Given : dy/dt = -100000y + 99999 e^(-t) a. If y(0)=0 use the explicit Euler method...

Given :

dy/dt = -100000y + 99999 e^(-t)

a. If y(0)=0 use the explicit Euler method to obtain a solution using a step size of 0.1. Carry out 2 iterations. What do you notice? b. Estimate the minimum step size required to maintain stability using the explicit Euler method.

b. Repeat the problem using the implicit Euler method to obtain a solution from t=0 to 2 using a step size of 0.1.

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