Recent content by b3n5p34km4n

I'm working with the integral from 0 to infinity of t^(x-1)e^(-atcos(b))cos(atsin(b)) with respect to t. specifically, I'm asked to solve in terms of the gamma function. my question is more of what general technique i should use. all I've been able to do so far is beat it to death using...

one of the questions my diff eq teacher gave us is L{(t^3)(sin^3(t))} (laplace of t cubed sine cubed t) i'll just cut to the chase and ask, would you be of the opinion that a question like this is in the scope of an intro to ODE class?

so I'm in my second week of my first differential equations class, and i can't seem to get this problem. Show that 5x2y2 - 2x3y2 = 1 is an implicit solution of the differential equation x(dy/dx) + y = x3y3 on the interval 0 < x < 5/2 for dy/dx, i got (3xy-5y)/(5x-4x2), I'm pretty sure it's...