Question: Using a while loop in MATLAB, write a function that can solve an ODE using Modified Euler's method. This function will work similarly to ode45,

Using a while loop in MATLAB, write a function that can solve an ODE using Modified Euler's method. This function will work similarly to ode45, but the step size will have to be specified as an input, e.g Function [tout,yout] = modifiedeular(odefunc,tspan,y0,h)

Then, add an if statement to your function so that it doesn't overshoot the end time (i.e. change h in the final step to exactly reach the end time). Then, adjust your function so that it has adaptive time stepping. If at any point exceeds 0.5, the value for h should be halved.

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