# Laplace little differet one

1. Apr 22, 2004

### Lucy77

This one has me stumped

Find the Laplace Transform of the unknown solution function for the following initial value problem:

y'' + 4y' - 5y = te^t, y(0)=1, y'(0)= 0

(Do Not actually find the function, only its transform. Then, without carrying out the steps, indiacate briefly how you would proceed to find the unknown solution function.)

Thanks

2. Apr 22, 2004

### faust9

As with your other question, Laplace transforms are linear thus you can do each elemnt individually. What have you done thus far?

3. Apr 22, 2004

### faust9

Also, $L \{ y^{(n)} \}$

where n is the derivative is

$$s^nY(s)-s^{n-1}y^{(n-1)}(0)-s^{n-2}y^{(n-2)}(0)-...-y(0)$$

PS. click on the equation to see how to use LaTex extensions. A little popup box should appear with a "click to read LaTex guide" at the bottom.

Good luck.