- #1
diffeq2010
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Laplace Transform of unit step function HELP!
f(t)= e^t on 0<=t<1
. . . . t on 1<=t<2
. . . . sin(t) on 2<=t<infinity
Unit Step Function
Here is my attempt at a solution...
f(t)=e^t*u(t)-e^t*u(t-1)+t*u(t-1)-t*u(t-2)+sin(t)*(t-2)
Now I know I need to transform this equation, but I'm not sure how to break it up into something a little easier to comprehend. Any help would be greatly appreciated! Thanks in advance!
Homework Statement
f(t)= e^t on 0<=t<1
. . . . t on 1<=t<2
. . . . sin(t) on 2<=t<infinity
Homework Equations
Unit Step Function
The Attempt at a Solution
Here is my attempt at a solution...
f(t)=e^t*u(t)-e^t*u(t-1)+t*u(t-1)-t*u(t-2)+sin(t)*(t-2)
Now I know I need to transform this equation, but I'm not sure how to break it up into something a little easier to comprehend. Any help would be greatly appreciated! Thanks in advance!