- #1

winner2

Find each Laplace transform or Inverse as indicated:

1. L^(-1) { (3s-4) / (s(s-4)) }

2. Solve the following IVP problem using the method of Laplace transforms:

y'' - 3y' + 2y = 0 y(0)=0 y'(0)=1

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- Thread starter winner2
- Start date

- #1

winner2

Find each Laplace transform or Inverse as indicated:

1. L^(-1) { (3s-4) / (s(s-4)) }

2. Solve the following IVP problem using the method of Laplace transforms:

y'' - 3y' + 2y = 0 y(0)=0 y'(0)=1

- #2

Pyrrhus

Homework Helper

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What have you done?, on what are you getting stuck?

- #3

winner2

- #4

Pyrrhus

Homework Helper

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Here go to this webpage

http://www.sosmath.com/diffeq/diffeq.html

If you still have any questions, ask them.

- #5

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As for your second problem you need to find the property of Laplace Transforms of derivatives. And apply that to the IVP you have.

- #6

saltydog

Science Advisor

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winner2 said:

Find each Laplace transform or Inverse as indicated:

1. L^(-1) { (3s-4) / (s(s-4)) }

2. Solve the following IVP problem using the method of Laplace transforms:

y'' - 3y' + 2y = 0 y(0)=0 y'(0)=1

The first thing to think of when "inverting" a transform is "partial fractions". For the first question, decompose the expression using partial fractions. This produces elementary transforms which are easily inverted.

Here's a link about using Laplace transforms we worked on earlier:

Click here

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