Im generally confused on where to start this problem. The discontinuous function part throws me off, and how it gets solved.

Problem 1 (Discontinuous Forcing). Suppose we have an undamped spring-mass system, where a 0.3 kg mass is attached to a spring with spring constant 30 N/m. At t = 0, the mass is disturbed from rest by an oscillating motor, which supplies a force of 3 cos 9.2t N to the system. After 10 seconds, the motor is switched off. We can model the forcing with the discontinuous function f ( t ) = 3 cos 9.2t if 0 10. (a) Write down the initial value problem that describes this spring-mass system. (b) Solve the IVP from part (a) and express your answer as a piecewise function. Hint: First solve the IVP for 0 10. What do you notice about the motion now