Question

pleas find the Laplace transform this function t^2e^tsin3t

Answer 1

\[ L(t^n f(t)) = (-1)^n F^n(s) \]
http://www.wolframalpha.com/input/?i=Laplace+Transform+t^2+e^t+sint

Answer 2

oh thanks for u dear its good solutions thanks

Answer 3

not a solution .. just a practice for me

Answer 4

\[ \large L(\sin 3t e^t) = \frac 3 {(s-1)^2+3^2}\]

Answer 5

L(t^n f(t)) = (-1)^n dn/ds^n F(s) this equation its coplex differentiation but i dont solution tis problem
but f(s)=?

Answer 6

\[ \huge F(s) = \large L(\sin 3t e^t) = \frac 3 {(s-1)^2+3^2} \]

Answer 7

http://planetmath.org/encyclopedia/LaplaceTransformOfTnft.html

Answer 8

thanks for u dear i solve this thanks

Answer 9

you are welcome !!