Laplace of Heaviside function

**Carbon** · May 24th 2011, 03:49 PM

I need to find the laplace transform of
$(1-\pi)u_\pi-(t-\pi)u_{2\pi}$

I can see how to find the first part of it with the formula

$L[u_c(t)f(t-c)]=e^{-cs}F(s)$

But the second part $(t-\pi)u_{2\pi}$ doesn't seem to work with that. How do I start to solve the second part?

**TheEmptySet** · May 24th 2011, 03:52 PM

Originally Posted by Carbon

I need to find the laplace transform of
$(1-\pi)u_\pi-(t-\pi)u_{2\pi}$

I can see how to find the first part of it with the formula

$L[u_c(t)f(t-c)]=e^{-cs}F(s)$

But the second part $(t-\pi)u_{2\pi}$ doesn't seem to work with that. How do I start to solve the second part?

This is really common with Laplace transform's. You need to use some algebra to fix the problem.

$(t-\pi)u_{2\pi}=(t-\pi-\pi +\pi)u_{2\pi}=(t-2\pi)u_{2\pi}+(\pi)u_{2\pi}$

Now you can apply the theorem to both terms.

Thread: Laplace of Heaviside function

LinkBack

Thread Tools

Display

(SOLVED) Laplace of Heaviside function

Similar Math Help Forum Discussions

Laplace transform with heaviside step function

Laplace transformation and heaviside function

Heaviside Function and Laplace Transformation

Laplace Transform and Heaviside Function

Laplace Transformation and Heaviside function

Search Tags