1. ## Laplace Transform

Use the Laplace transform and solve the following initial value problem:

d2y/dt2 – 4 dy/dt +4y = t3e2t ; y(0) = 0,dy/dt|t =0 = 0

2. ## Re: Laplace Transform

Well what have you tried so far? You know you need to use Laplace Transforms, have you at least tried to take the Laplace Transform of both sides of the equation?

3. ## Re: Laplace Transform

I am new to this and trying my part as well to solve it. just wanted to get a help so that I can move when I get stuck
Thanks

4. ## Re: Laplace Transform

Originally Posted by Ashaajith
I am new to this and trying my part as well to solve it. just wanted to get a help so that I can move when I get stuck
Thanks
If you are new to it, it's probably a good idea to read your textbook, or whatever you are learning from, to learn the steps to using the Laplace transform for solving differential equations.

Asking us to solve it for you when you have no idea what you are doing isn't going to help you any.

5. ## Re: Laplace Transform

Originally Posted by Ashaajith
I am new to this and trying my part as well to solve it. just wanted to get a help so that I can move when I get stuck
Thanks
Great! So show what you tried so we will know where you are having difficulty. Do you know what the "Laplace transform" is? If so do you know how to find the Laplace transform of $\displaystyle dy/dt$ and $\displaystyle d^2y/dt^2$? Have you found the Laplace transform of both sides of this equation?

Thank you

7. ## Re: Laplace Transform

yes , I know to find that

8. ## Re: Laplace Transform

Originally Posted by Ashaajith
yes , I know to find that
You're going to end up with

$F(s)Y(s)=G(s) \Rightarrow Y(s)=\dfrac{G(s)}{F(s)}$

Can you work out what $F(s)$ and $G(s)$ are?

9. ## Re: Laplace Transform

Thanks.
I have solved it