y''' + 2y'' - y' - 2y = sin(4t), y(0) = 0, y'(0) = 0, y''(0) = 1 Use the Laplace transform to solve the given initial-value problem.
L^-1{1/(s^2 + 1)(s^2 + 9)} Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (write your answer as a function of t.)
f(t ) = { 4 0 < t < 6 -4 t > 6 Write the function in terms of unit step functions. Find the Laplace transform of the given function F(s)
