Please write and include a matlab code for the following:

Given the following differential equation 10+ 20 + 250 = () a. Plot response to f(t) = 200sin(4t) b. Plot response to a step f(t) = 200 that starts at t = 0 s and stops at t = 2s; note that the response goes past the 2 seconds of input.

Part a.) I need matlab code to generate the plot for 10x''+20x'+250x=200sin(4t)

Part b.) I need matlab code to plot the step function response when 10x''+20x'+250x=200 over the interval 0 Given the following differential equation 10x + 20% + 250x = f(t) a. Plot response to f(t) = 200sin(46) b. Plot response to a step f(t) = 200 that starts at 1 = 0 s and stops at t = 2s; note that the response goes past the 2 seconds of input