Thread: Simple Laplace Transform

Why is it that the seemingly easy equations are always the ones to stump you?

y=2 x=0 y₀=2

So y'=-y

sL{y}-y₀=-y/s

sL{y}=(-y/s)+y₀

L{y}=(-y/s²)+(y₀/s)

I think I'm right so far, but I don't know what to do now, as I end up with:



And as

=

I end up with

-2=As+Bs

and can't see my next (any) move from there.

Please tell me I've made a stupid mistake I'm not aware of earlier in the equation. Any help is much appreciated.