Hi Im really struggling with this laplace problem and I was wondering if anyone could give a step by step guide on how to solve it.

d²y/dt² + dy/dt + 6y = 2

given t = 0, y = 0 and dy/dt = 0

solving the equation for y.

Any help would be greatly appreciated. My laplace skills are terrible.

 

1. Open your book to the section about Laplace Transforms.
2. Replace each term in your equation with its transform function. Your initial conditions will be used in this step.
3. Solve the resulting equation for Y(s).
4. Carry out the inverse Laplace transform to get y(t).

Step 1 is very important, and is a surefire way to alleviate poor Laplace skills.

Your book and/or notes should have some examples that you can follow. Let us know of your progress.
Mark