Dealing with Derivatives in Laplace Transform Problems

[Lancelot59]

I'm working on a LaPlace transform problem. Part of it was this:

$$-ty'$$
I elected to do this first:
$$(-1)\frac{d}{ds}L(y')$$
Which I then expanded to:
$$-\frac{d}{ds}(-y(0)+sL(y))$$
By the given initial conditions y(0)=0
$$-\frac{d}{ds}(sL(y))$$
So next I need to expand this out:
$$-(L(y)+sL(y)')$$
Now I'm stuck with this because I'm not sure how to deal with the derivative of a laplace transform. Did I do this correctly, or is something wrong?

 

[I like Serena]

Looks correct.
So you got a differential equation... any reason to think you can't just solve it?

 

[Lancelot59]

Good point... I'll try that and see what I get.

 

[Lancelot59]

I managed to solve it, thanks for the tip.

 

[I like Serena]

Cheers!