Question

using the laplace transform table and the linearity how do i determin...L{5-e^2t +6t^2

Answer 1

the linear properties of Laplace transform states that

L[af+bg] = a L[f] + b L[g];
where
f and g are functions where laplace transform exist,
a and b are constants.

therefore \[L[5-e^{2t}+6t^{2}]\]\[=L[5]-L[e^{2t}]+6L[t^2]\]and search the answer from the table.