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Question: using matlab solve the following ode with y01 and t...

Question details

Using MATLAB, solve the following ODE:

dy -y - 5e sin

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^{-t} cos (5t)

using a step size of 0.001 and a line thickness of 3. Remember to include a legend for each subplot.

Use fprintf to display 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.

Step size Y(3) Absolute Difference
0.5 ---- ----
0.2 ---- ----
0.01 ---- ----

Describe the use of the code briefly in %green text.

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