Recent content by kank_39

OK guys. I'm totally dumbfounded by the theorem of elliptic integrals. I've not studied this theory but it seemed that it is a rather powerful and not to mention essential tool in solving many problems, especially non-linear differential equation. Do you know of any useful sites or books where i...

Oh.. sorry, i forgot to mention the initial conditions which is v(y=0) = y(x=0) = 0. That would allow c_1 to become zero and the results to be as I've solved it. However, I'm now trying to solve this: \int dx = \int \frac{\pm}{\sqrt{ 2\left(By - \frac{Ay^3}{3}\right) + c_1} } dy + c_2...

z = y^0.5 represents z to be equal to the square root of y or y to the power of 0.5. :)

All right. I think I've sold the first order differential equation of dy/dx = [2(By-Ay^3/3)]^0.5. It can be solved by introducing a new variable of z = y^0.5 which will result in the expression: y = (3B/A)*sin[(B/2)^0.5*x] Thanks anyway for all the help guys!

I've already tried that method qbert and i ended up something's that more complicated, which is as follow: upon resolving: v dv/dy = B - Ay^2 I got the following expression when i substituted the original expression of v(x) = dy/dx back into the solution: dy/dx = [2(By-Ay^3/3)]^0.5...

But the problem is in the second order. Can we still use the simple separation of variable method?

Nonlinear Differential Equation problem Hi all, I'm new here. I stumbled upon the site while searching for solutions to nonlinear differential solution. I have a problem that I've been cracking my head to solve for the past 2 days to no avail. I hope you guys can help me out here. I'm...