## johnny0929 Group Title Show that the laplace transform of $$f(ct)$$ is $\frac{1}{c}F(\frac{s}{c})$ one year ago one year ago

1. johnny0929 Group Title

@modphysnoob help?

2. johnny0929 Group Title

3. modphysnoob Group Title

well, do you want worked example or why that is true?

4. johnny0929 Group Title

i want to know how to prove it

5. modphysnoob Group Title

well, remember this derivative in time domain is multiplication by s in laplace domain

6. johnny0929 Group Title

ok i think i can do it myself... i substitute ct with u, so -st becomes $$-u\frac{s}{c}$$ and then i take the integral of it