2. Plot the rough solutions of the following differential equations. You can use your hand (preferably), or wolfram alpha, or you can solve in MATLAB. I just need a rough

shape of the plot, no numbers!Only plot the part of the solution for t = 0 to t = 5. But please write the poles for each case. a. ý +y = 2unit(t), with initial conditions y(0) = 0.5 (1st order) b. ý +y = 0, with initial conditions y(0) = 0.5 (1st order) c. ý +y = 28(t), with initial conditions y(0) = 0.5 (1st order) d. ý + y = 2t, with initial conditions y(0)=0.5 (1st order) e. ý + y = 2sin(3t), with initial conditions y(0) = 0.5 (1st order) f. ý - y = 2 unit(t), with initial conditions y(0) = 0.5 (unstable 1st order)