A 1 Normal 1 No Spac... Heading 1 Heading 2 Font Paragraph Styles a) Solve for the general solution of the ODE below: v"+ 3y' +3.25 y = 3 cost - 1.5 sin t b) (M) Does the dsolve function in MATLAB give the same answer this time? Type in the command window the following: dsolve('D2y+3*Dy+3.25*y=3*cos(t)-1.5*sin(t)','t") c) (M) Assume initial conditions of y(t = 0) = 0 and y'(t = 0) = 0, get the particular solution for the ODE. Solve the ODE using MATLAB ode45 and plot both the ode45 result and your particular solution on the same graph to confirm that your answer is correct. Add an appropriate legend to the graph. a) Solve y" + 4y = 8x2, y(0) = -3, '(0)=0 b) (M) Does the dsolve function in MATLAB give the same answer this time? Type in the command window the following: dsolve('D2y+4*y=8*x*x' y(0)=-3, Dy(0)=0','x") (3) Solve for another solution for the second-order ODE below: x2y" - 5xy' + 9y = 0 if y1 (x) = x3 is a solution to the ODE. ED STATES)