• Math Archive: Questions from 2023-02-16

    L^-1{1/s^2 + 9s} Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (write your answer as a function of t.)

    1 answer

    L^-1{s/(s - 5)(s - 6)(s - 30) } Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (write your answer as a function of t.)

    1 answer

    L^-1{s^2 + 1/s(s + 1)(s - 1)(s - 4) } Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (write your answer as a function of t.)

    1 answer

    L^-1{4s - 8/s(s + 1)(s^2 + 1) } Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (write your answer as a function of t.)

    1 answer

    L^-1{1/s^4 - 49} Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (write your answer as a function of t.)

    1 answer

    y' + 5y = e^4t, y(0) = 2 Use the Laplace transform to solve the given initial-value problem.

    1 answer

    y' - y = 2cos(6t), y(0) = 0 Use the Laplace transform to solve the given initial-value problem.

    1 answer

    Consider the following initial-value problem. y'' - 3y' = 8e^2t - 2e^-t, y(0) = 1, y'(0) = -1 Find L{f(t)}, for f(t) = 8e^2t - 2e^-t. (Write your answer as a function of s.) L(f(t)) = Use the Laplace transform to solve the given initial-value problem. y(t) =

    1 answer