I have to solve this ODE with numerical methods:(adsbygoogle = window.adsbygoogle || []).push({});

[itex](y^2 - 1)\frac{dy}{dx}=3y[/itex]

I have no initial conditions to solve it like you would normally do. I am hoping to use a numerical method (Euler... Runge Kutta) to approximate the solution. This is if I solve it using numerical methods right? So, I got to the following solution for x, by integrating both sides:

[itex]x=\frac{1}{6}y^2 + \frac{1}{3}lny + c[/itex] where c is the constant after integrating. With c in the way and no initial conditions, how do I then get to go ahead? am I approaching this the wrong way? your help would be greatly appreciated... thanks!

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# How do I solve this ODE with numerical methods?

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