Consider applying euler's method to the initial value problem: y' = -100(y - sin(x)) + cos(x), y(0) = 0, x belongs to [0, 20]. what is the exact solution of this problem? what is the smallest value of h that causes the method to be absolutely unstable? call it h_a. for a few values of h = 20/n close to h_a plot the error y(20) - yn against h. comment on your results.