Question: Task 2 Solve the following ODE: dy dt = -y-5e-sin(5t) with y(0)=1 and t between 0 and 3 (inclusive) using the Euler, Heun and midpoint
Task 2 Solve the following ODE: dy dt = -y-5e-sin(5t) with y(0)=1 and t between 0 and 3 (inclusive) using the Euler, Heun and midpoint methods. Create a 1-by-3 subplot arrangement where each subplot contains the solutions of the 3 methods for h = 0.5 (first subplot), h = 0.2 (second subplot) and h = 0.01 (third subplot). In addition, each subplot should plot the analytical solution of y = e-cos(5t) using a step size of 0.001 and a line thickness of 3. Remember to include a legend for each subplot. Create a table using fprintf which displays the step size, the midpoint method solution for t = 3 and the absolute difference between the midpoint method and the analytical solution at t = 3. The table should look similar to the following. Y(3) Absolute difference 0.5 0.2 Step size 0.01
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