Second graded homework (due 10/8)

For maximal credit, full working must be shown.
  1. (6 points.) Solve the initial value problem
    y'' + y = cos t
    with  y(0) = 1 and  y'(0) = 0.

  2. (6 points.) Give the general solution to the differential equation    
    y'' + 5y' + 6y = et + t2