MATH 308 Midterm: MATH 308 TAMU Exam2 14c
Document Summary
On my honor, as an aggie, i have neither given nor received unauthorized aid on this work. The initial charge on the capacitor is zero. A 12-volt battery is connected to the circuit and the circuit is closed at t = 0. Give a quick physics explanation and a full proof using the solution of the di erential equation. Q = e(t): prove that the laplace transform of the function is equal to g(t) = sin(t), 1 s2 + 1 (cid:0)1 + e s(cid:1) . You may do it using the de nition of laplace transform or by expressing g(t) in terms of the heaviside function u(t) and using the formulas. Do not attempt to fudge your answer: solve the initial value problem y + 2y = g(t), > 1, y(0) = 0, y (0) = 0, where g(t) is given in question 4.
