# Inverse Laplace Transform

• Jan 12th 2013, 07:26 PM
UrbanM
Inverse Laplace Transform
I know the inverse laplace of F(s) would be delta (unit impulse) however what is the inverse transform of the value 10F(s)?

Matthew
• Jan 12th 2013, 07:44 PM
UrbanM
Re: Inverse Laplace Transform
Attachment 26549

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
• Jan 13th 2013, 10:42 AM
kalyanram
Re: Inverse Laplace Transform
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.