Inverse Laplace Transform

**UrbanM** · January 12th 2013, 07:26 PM

I know the inverse laplace of F(s) would be delta (unit impulse) however what is the inverse transform of the value 10F(s)?

Thank you in advance

Matthew

**UrbanM** · January 12th 2013, 07:44 PM

$Inverse Laplace Transform-math.png$

Here is my answer to B from the three questions I have just want to make sure I'm going in the correct direction.. thanks

**kalyanram** · January 13th 2013, 10:42 AM

Hello Matthew,
If $f_1(t) \leftrightarrow F_1(s), f_2(t) \leftrightarrow F_2(s)$ then $a f_1(t) + b f_2(t) \leftrightarrow a F_1(s) + b F_2(s)$ by Superposition use this to find the inverse Laplace of $10 F(s)$

The differential equation is correct except that on RHS it has to be $\delta(t)$ not $\delta(x)$ as independent variable is $t$

Kalyan.

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