find the Laplace Transform of f(x) = sin(ax)

Question

anonymous · Answer

$$\frac{a}{s^2 + a^2}$$

anonymous · Answer

What's a laplace transform?

jamesj · Answer

Watch this: http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/lecture-19-introduction-to-the-laplace-transform/

anonymous · Answer

just a transformation from  s parameter; makes it easier to solve shock(sudden change) in the system.eg, car accident, hammer hitting something, punch

turingtest · Answer

I'm partial to this set of notes, so I'll post it too http://tutorial.math.lamar.edu/Classes/DE/LaplaceTransforms.aspx Laplace transforms can reduce differential equations to algebra problems, so that is a handy trick to have.

turingtest · Answer

actually you should start here for the notes: http://tutorial.math.lamar.edu/Classes/DE/LaplaceDefinition.aspx

anonymous · Answer

Fourier transforms are used to express a Aperiodic signal using sinusoids, but only if the function satisfies dirichlet conditions. When a function cannot satisfy dirichlet conditions we use laplace transform.