Laplace transform - Heaviside algebra

93 Views Asked by At

I'm strugling with some algebra around a laplace transform with heaviside. The start function is

$L(2tH(1-t)) + L(2H(t-1))$

so from this, I'm supposed to convert it to

$L(2t) + L(2(1-t)H(t-1))$

From that I understand how you continue, but dont see how they get there.

PS: First question ever, so how important is it to write the math with code? I feel I'm getting the point through, even without coding it :)

PSS: The assignment is 6e on this link Where I have it from! if someone wants.

Maybe if someone could explain why

$L(f(t)u(a-t)) = L(f(t) - u(t-a)f(t))$

some light would be shed on the first question :)