PDF Given the initial value problem y(3) + 3y" +4y' + 12y = 0 y(0) = a, y'(0) = 0, y"(0) = 0 1. Solve the initial value problem by hand. 2. Solve the same problem using the Matlab or Mathematica and find the value of constants using the given initial conditions. 3. Plot the graph of the solution for a = 3, a = 2, a = 1, a = 1, a = 2, a = 3 in single box.