Recent content by bosox09

Homework Statement The solution to the ODE y''(t) + 4y(t) = 1 + u(t − 2), y(0) = 0, y'(0) = 0 is given by... The Attempt at a Solution OK well I figured this one is good to solve with Laplace transforms. So I took the Laplace of both sides to obtain (s2 + 4)Y(s) = [e-2s/s] + 1/s, which...

Hahahahahaha ugh...duh! Alright then can anyone explain why it's only 3 instead of 4?

This is a straightforward concept-type question that I already know the answer to, but I need someone to shed some light on HOW this is figured out. I have an idea but this is probably going to be asked of me on my final exam and I want to know the method behind this problem. Homework...

Sorry! Good point. The integral I put was not the original. I rearranged the original to get to that point, so ignore my "process" as that's how I got to the formula above. Thanks.

Homework Statement Integral (pi1/2, 0) of Integral (pi1/2, y) sin(y2) dxdy Homework Equations This one is interesting because it can't be integrated as is (at least not at the level of my course) but I think with some rearranging it can be done. I was wondering if anyone could verify...

Thank you, you guys were very helpful!

Homework Statement Using the definition of a limit, prove that lim(x, y) --> (0,0) (x^2*y^2) / (x^2 + 2y^2) = 0 Homework Equations Now, I know that the limit of f(x, y) as (x, y) approaches (a, b) is L such that lim (x, y) --> (a, b) f(x, y) = L. Also, for every number epsilon > 0, there is...