the laplace transform of a capacitor's equation

For a capacitor that is represented by a time-domain equation: v(t) =3D

ive read the solution on a text book but just can't figure out how to get to it.

Many thanks

f v(t)

There are two ways to apply the laplace transform. The hard way is to apply it by cranking through the definition.

The easy way is to look it up in a table. In the case of your question, the voltage of the capacitor is related to the integral of the current, with an initial condition where the 1/C is a constant. Once you look at the problem this way, it should be fairly straight forward to find the answer.

Note, if this is for school work, you will still need to know how to apply the definition to get the answer as you will most assuredly be tested on this.

See