I'm trying to find the general solution to
$\frac{\text{d}y}{\text{d}x} = \frac{y-x^2}{\sin y-x}$
Any ideas would be greatly appreciated.
Thanks!
I'm trying to find the general solution to
$\frac{\text{d}y}{\text{d}x} = \frac{y-x^2}{\sin y-x}$
Any ideas would be greatly appreciated.
Thanks!
Your equation is exact once you write it as $f(x,y)\,\mathrm d x+g(x,y)\,\mathrm d y=0.$ Find a potential, and voilà. I'll leave you the fun of doing that; the general solution is implictly defined by the equation $\frac{x^3}{3}-xy-\cos y=c$ with $c$ a constant.