Question

L [ t ^ { 3 } e ^ { - 2 t } ]​

Answer 1

Answer:

Given L[(t^3)e^(-2t)]

Step-by-step explanation:

USING FORMULA

L((t^(n))*e^as) =n!/(s+a)^(n+1)

so,

L(t^3)

applying laplace transform we get

L(t^3) = 3! / (s^4)

so,

L[(t^3)e^(-2t)]

= 6 / (s+2)^4

Answer = 6/ (s+2)^4