Differential equation

1. Solve the initial-value problem y" ty = 0, y(7/3) = 0, y' (7/3) = 4 2. Find the general solution for the DE y" - 3y' + 4y = 23 3. Find the general solution for the DE y" - 4y' + 4y = e21 4. Find the general solution for the DE y" ty = sin?(x) 5. A mass weighing 4 pounds is attached to a spring whose spring con- stant is 36 1b/ft. Find the equation of motion. Sketch the solution curve. (Use g = 32 ft/s2 for the acceleration due to gravity. Assume t is measured in seconds.)