Laplace Expansion

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Laplace Expansion Video Lessons (1 video lessons)

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Laplace Expansion Questions and Answers (1,100 questions and answers)

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Find the Laplace transform of the following function: f(t) = 3t^2 e^(7t).
Find the Laplace transform of the following functions. 1. f(t) = 7 \sqrt{t} - 5t \\F(s) = \boxed{\space}. \\ 2. f(t) = 5t^{\frac{3}{2}} - e^{-8t} \\ F(s) = \boxed{\space}.
Find the Laplace transform for the function: f(t) = (1 + 2te^{2t})^2.
Find the Laplace transform for the function: f(t) = e^{-t} cos^2 2t.
Find the Laplace transform for the function: f(t) = sin^2 (t+1).
Find the Laplace transform for the function: f(t) = e^{-t} sin h 4t.
Find f(t) for the following function. F(s) = \frac{5s^3 + 20s^2 - 49s - 108}{s^2 + 7s + 10}
Find f(t) for the following function. F(s) = \frac{25s^2 + 395s + 1494}{s^2 + 15s + 54}
Use the Laplace transform to solve the following initial value problem. \left\{\begin{matrix} y'' - 4y' + 3y = 1\\ y(0) = 0,\;\; y'(0) = 1 \end{matrix}\right.
Find the Laplace transform of the following function. f(t) = \left\{\begin{matrix} t^2 & 0 \leq t less than 8\\ 0 & t \geq 8 \end{matrix}\right.

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