|Mar9-12, 04:01 AM||#1|
1. The problem statement, all variables and given/known data
I'm trying to find the Laplace transform of tJ''0(t), it's from bessels equation, but that doesn't matter too much at the moment, I just need to integrate (e^-st)*t*J''0(t) but am unsure how to go about this with the J''0(t) in there.
|Mar9-12, 02:24 PM||#2|
Maple 14 gets an answer:
t*diff(BesselJ(0,t),t$2): <---second derivative of J0(t), times t
f := -t BesselJ(0, t) + BesselJ(1, t)
L:= [1 + 2s^2 + s^4 - (s^2 + 2s)*sqrt(1 + s^2)]/ (1+s^2)^2
Note: Maple used the DE for J0 and recursions to express J0'' in terms of J0 and J1, then it integrated that.
|bessel, calculus, integration, laplace, transform|
|Similar Threads for: Laplace transform|
|IVP Laplace Transform Problem -- Tricky Inverse Laplace Transform||Calculus & Beyond Homework||5|
|Laplace Transform||Calculus & Beyond Homework||1|
|Finding an inverse Laplace Transform for a function - solving IVPs with Laplace||Calculus & Beyond Homework||2|
|Laplace Transform of cos(at) * cos(bt)||Electrical Engineering||2|
|The difference between Fourier Series, Fourier Transform and Laplace Transform||General Physics||1|