Recent content by 930R93

Hello, I'm having problems with a D.E. question, I'm asked to solve the equation: \left(1+y^{'2}\right)y=k^{2} where K is a certain positive integer to be determined later. This more commonly known, as you probably know, as one of the solutions to the Brachistochrone Problem. I really...

Sorry, it was a mistake on my end; I didn't give a very clear question. I used sine and cosine instead of tan and sec. whoops! it got it though but thanks for trying to help me, ill have to get better at asking if i want any help lol. :-p -930R93

Hey thanks! I am not sure why I didn't see this. I got it! thanks again!

Yikes! I saw (2-x^2)^(1/2) in the numerator and used a trig identity to simplify the top... so after you pointed this out i corrected the mistake and am left with nothing (from my point of view) i can simplify... i have root(2)*root(sin^2(O) +1)*root(2)*cos(O)dO over (root(2)*sinO) umm...

Problem: \int\sqrt{x^{2}+2}/x Attempt: Let x= \sqrt{2} sin\vartheta dx= \sqrt{2} cos\vartheta d\vartheta from this I got \int\sqrt{2}sin\theta\sqrt{2}cos\theta/\sqrt{2}cos\theta I think inverse substitution was not the right way to solve this problem... any help would be greatly...