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Inverse laplace transform. Watch

1. Have I got the answer to this right, tried putting it through wolfram, but it doesn't seem to understand what I'm asking.

Find the inverse laplace transform of

After some partial fractions etc my answer is
2. ROFL, it just dawned on me that I can put it through wolfram and change the letters and it works lol. Nevermind.
3. (Original post by BAD AT MATHS)
Have I got the answer to this right, tried putting it through wolfram, but it doesn't seem to understand what I'm asking.

Find the inverse laplace transform of

After some partial fractions etc my answer is
You can check this by taking the Laplace transform of your proposed answer! Since there's an exponential in there, you can probably use some sort of shifting theorem.
4. (Original post by BAD AT MATHS)
Have I got the answer to this right, tried putting it through wolfram, but it doesn't seem to understand what I'm asking.

Find the inverse laplace transform of

After some partial fractions etc my answer is
sin(bt) would be sin(dt) ?

Use the following rule for sine function and the shifting
5. (Original post by ztibor)
sin(bt) would be sin(dt) ?

Use the following rule for sine function and the shifting
Yeah, it's dt, I made a typo.

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