Find the Laplace transform of the function ft t4 5t4 7 So
Find the Laplace transform of the function f(t) = t^4 - 5t^4 + 7.
Solution
f(t) = t4 - 5t4 + 7
L{f(t)} = L{t4 - 5t4 + 7}
L{f(t)} = L{t4} + L{- 5t4} + L{7}
= 4!/s5 - 5( 4!/s5 ) + 7/s2
= 24/s5 - 120!/s5 + 7/s2
= -96/s5 + 7/s2
= 7/s2 -96/s5
