Check Numerically Method Avg Becomes Unstable Use Ode Y 0 100 0 T 05 Experimentally Determ Q37262545

Check numerically if the method Avgfrom above becomes unstable. Use the ODE

y'(t) = -(y(t))^2 + 10000 - 10000e^-^5^t

with y(0) = 100 from 0 ≤ t ≤ 0.5 and experimentally determinethe largest step size the method stays stable at. Plot the solutionthat is still stable together with the solution computed withode45.

All in Matlab


Answer


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