I have function $f(x)=|\cos(x)|, x≥0$ and like to derive its Laplace transform. I am told that $f(x+\pi)=f(x)$. Help me please.
Finding the Laplace transform of $f(x)=|\cos(x)|$
4
$\begingroup$
ordinary-differential-equations
laplace-transform
-
0But You can look at @BabakSorouh answer below. – 2012-06-14
1 Answers
3
Your function is periodic ($T=\pi$) so you can easily use the formula:
$L(f(x))=\frac{1}{1-e^{-sT}}\int_{0}^{T}e^{-sT}f(x)dx$
Note that your function is a piecewise function broken at $\frac{\pi}{2}$.
-
0Nice!! :+) $\quad +1 \quad$ – 2013-03-06