Hello Everyone!
I've recently came across step functions in my systems course, they frequently appear in ODEs describing the system.
An ODE I came across was
. Now, I know I must ask this in the differential equations forum, but, I know what the solution should be, it's just that I'm not "okay" with integrals involving step functions. In the above equation, we would get
but what's
? Shouldn't it be plain
?
If so, when substituting our new solution in the DE, we get:
. How come?!
Any help is appreciated!