MATH 0290 Final: Math 0290 Final Exam (0290) 2 -202
Document Summary
Sample final exam: solve the initial-value problem. Mention a type of the given di erential equation. (a) (5 points) y = 2xex2. Page 2: (5 points) a 0. 3 kg mass is attached to a spring that has a spring constant 30 kg/s2. The system is displaced 2 m from its equilibrium position and released from rest. If there is no damping, nd the amplitude, frequency, and phase of the resulting motion: (5 points) use the laplace transform to solve the initial-value problem. 3y + 5y = 2e t, y(0) = 2. Page 3: (5 points) find the inverse laplace transform of the function f (s) = se s s2 + 9. Create the piecewise de nition of your solution that does not use the heaviside function: (5 points) find the unit impulse response to the initial-value problem y 6y + 9y = (t), y(0) = y (0) = 0. 1 (cid:19) be a general solution of the system.
