Answer to Question #343120 in Differential Equations for Tobias Felix

Question

Find the Laplace transforms of the following function:

3. L{e^-5t + t^2}

Answer 1

$L(af(t)+bg(t))=aL((f(t))+bL(g(t)))$

$L(e^{-5t}+t^2)=L(e^{-5t}+L(t^2))=\frac{1}{s+5}+\frac{2!}{s^3}$