- #1
Lancelot59
- 646
- 1
I'm working on a LaPlace transform problem. Part of it was this:
[tex]-ty'[/tex]
I elected to do this first:
[tex](-1)\frac{d}{ds}L(y')[/tex]
Which I then expanded to:
[tex]-\frac{d}{ds}(-y(0)+sL(y))[/tex]
By the given initial conditions y(0)=0
[tex]-\frac{d}{ds}(sL(y))[/tex]
So next I need to expand this out:
[tex]-(L(y)+sL(y)')[/tex]
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?
[tex]-ty'[/tex]
I elected to do this first:
[tex](-1)\frac{d}{ds}L(y')[/tex]
Which I then expanded to:
[tex]-\frac{d}{ds}(-y(0)+sL(y))[/tex]
By the given initial conditions y(0)=0
[tex]-\frac{d}{ds}(sL(y))[/tex]
So next I need to expand this out:
[tex]-(L(y)+sL(y)')[/tex]
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?