2
$\begingroup$

I do not have an idea where to start to solve the following differential equation, so every tip is welcome.

$$y' = \frac{x\sqrt{4+y^{2}}}{y(9+x^{2})} $$

  • 1
    This differential equation is separable, meaning that you can get all the $x$ terms on one side and the $y$ terms on the other. Rewrite $y'$ as $\frac{dy}{dx}$, separate the $x$ terms from the $y$ terms (including $dx$ and $dy$ respectively), then integrate both sides. That will be a good start.2012-07-19
  • 0
    @Théophile, i understand how to solve differential equations, it's not my first, but i dont have idea how to separate x and y from this expression, because of its complexity2012-07-19
  • 0
    The right side of the equality can be written as $\frac{\sqrt{4+y^2}}{y} \frac{x}{(9+x^2)}$. Does this help?2012-07-19
  • 0
    @JavierBadia - thanks, it's a little late here in Europe (2:44AM), therefore slower i think :D2012-07-19

1 Answers 1