Recent content by Nayr

Aaaah! I knew that there was something that I'd forgotten! I haven't used partial fractions since last year, so it just slipped my mind... Thank you so much!

Thank you very much! The substitutions really help to put things into perspective. However... I am now having an embarrassing amount of trouble integrating 1/(u(u-1)) du. I think it comes out to ln(u/u+1)), but when I try to expand and then unsubstitute, one of my variables cancels itself...

Ah, I see. Thanks for clearing that up. Now it's the x side that's cleared up and the y side that I'm stuck on. I'll go through the substitution loops and see what I get... Hm. Doesn't really seem like I can get a clean substitution... Gonna keep at it, though. I think I have it. Ended up with...

I need some help with an initial value problem. It looked pretty easy at a glance, but I've ended up spending over 3 hours on this one problem.The problem is as follows: (e^(-y)+1)(sin(x) = (1+cos(x)) dy/dx With y(0) = 0. I rearranged the equation to get sin(x) / (1+cos(x)) dx = 1 /...