Hi,

I am trying to solve

using Laplace transforms.

I end up with

where H(t-a) is the Heaviside/unit step function. Is this correct? If not, where have I gone wrong?

Cheers,

Ben

Printable View

- Oct 28th 2010, 01:26 AMweedingbLaplace shifting problem
Hi,

I am trying to solve

using Laplace transforms.

I end up with

where H(t-a) is the Heaviside/unit step function. Is this correct? If not, where have I gone wrong?

Cheers,

Ben - Oct 28th 2010, 03:19 AMAckbeet
Hmm. That isn't what I get. You're missing the complimentary function, I think.

1. How can you write the original DE in one equation using the Heaviside step function?

2. What do you get when you LT the DE?

3. What are the initial conditions?

4. So what do you get when you solve for the LT of y? - Oct 28th 2010, 06:08 AMchisigma
- Oct 28th 2010, 01:44 PMchisigma
The DE is [in my opinion]...

(1)

... and if we suppose in terms of Laplace Transform is written...

(2)

Now if You consider that is...

(3)

... You obtain...

(4)

Kind regards