Thank you for your reply. I am aware that it is nonlinear; I just did not know that the Laplace transform could not be applied to nonlinear ordinary differential equations (as I mentioned, I thought I may have been missing something obvious, but I wasn't sure).
I am fairly confident that the...
I have re-posted my question in the differential equations forum https://www.physicsforums.com/showthread.php?p=2526341", as it seems more germane to that topic.
I originally posted in calculus/analysis because my query was essentially just about taking the Laplace transform itself, an...
Hello,
I am trying to take the Laplace transform of floor(f(t)) in order to solve the differential equation f'(t)=floor(f(t)).
I know that http://functions.wolfram.com/IntegerFunctions/Floor/22/04/" gives L(floor(t)) = (e^(-s))/(s(1-e^(-s))) instead -- are these equivalent?) and L(f(t)) =...
Hello,
I am trying to take the Laplace transform of floor(f(t)) in order to solve the differential equation f'=floor(f(t)). I know that L(floor(t)) = (e^(-s))/(s(1-e^(-s))) and that L(f(t)) = F(t) (of course), but I realized that I have no idea how to take the Laplace transform of a...