# Laplace Expansion

Study.com can help you get the hang of Laplace expansion with quick and painless video and text lessons. Review vocabulary with flashcards or skim through our library of thousands of common homework questions and answers. You can even take a practice quiz or exam to measure your progress.

Study tools on Study.com
27,000+ Video Lessons
65,000+ Quizzes

## Laplace Expansion Video Lessons(1 video lessons)

Watch simple explanations of Laplace Expansion and related concepts.

Test your understanding with practice problems and step-by-step solutions.

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.

## Laplace Expansion Quizzes(1 quizzes)

Check your mastery of this concept by taking a short quiz.

Laplace Expansions

### You may also be interested in these other concepts related to Laplace Expansion

More general concepts
Main concepts
Support