These are from statics

Solve y"-25y = cos(2x) . a) First solve the associated homogeneous differential equation for yo . b) Use the Method of Undetermined Coefficients to find Vp. Use Vp = Acos(2x) + Bsin(2x). c) State the general solution y = ye + yp.Solve the differential equation y" + y' -6y =e2x. a) First solve the associated homogeneous differential equation for yc . b) Use the Method of Undetermined Coefficients to find Vp. Make sure that y' and y'p are linearly independent. In other words, let Vp = Axe2x. c) State the general solution y = yc + yp