In Exercise perform the following tasks for the given initial value problem on the specified interval.
a) Find the exact solution.
b) Use MATLAB to plot on a single figure window the graph of the exact solution, together with the plots of the solutions using each of the three methods (eul, rk2, and rk4) with the given step size h. Use a distinctive marker (type help plot for help on available markers) for each method. Label the graph appropriately and add a legend to the plot.
x′ = x(4 − x)/5, with x(0) = 1, on [0,6]; h = 0.5.
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