# Laplace Transform of $e^t\cos(3t)\operatorname{heaviside}(t)$

Find the Laplace Transform of $e^t \cos(3t) \operatorname{heaviside}(t)$

Since $\operatorname{heaviside}(t)g(t) = \mathcal{L}(g(t))$ and $\mathcal{L}(e^t\cos(3t)) = \frac{(s-1)}{(s-1)^2+9}$ the solution should be$\ \frac{(s-1)}{(s-1)^2+9}$ but Wolfram Alpha Laplace calculator says it is $\frac{(s-1)}{(s-2) s+10}$

What am I doing wrong?

• Very quickly: Isn't it the same? – Martijn Pot Dec 4 '14 at 19:48