by the way I need to show all steps rather than refering to the tables, according to which I should end up with
6/s^4 * 4/s+4
Hi all,
I have a question.
f(t) =t^3*e^-4t using theorm 1 and 2.
what im wondering is can I take the t^3 outside the integral as a constant
t^3| e^-st * e^-4t (between 0 and infinity)
then
t^3 [ e-st/-s + e^-4t/s] (between 0 and infinity) or should I be thinking of partial fractions all of which are kind of new to me.
No, you can't, because it is NOT a constant. The Lalace transform is, by definition
Do that "by parts" three times.
t^3| e^-st * e^-4t (between 0 and infinity)
then
t^3 [ e-st/-s + e^-4t/s] (between 0 and infinity) or should I be thinking of partial fractions all of which are kind of new to me.