I don't understand the equation of the geodesic y=y(x) for the surface given by z=f(x,y) :(adsbygoogle = window.adsbygoogle || []).push({});

[tex] a(x)y''(x)=b(x)y'(x)^3+c(x)y'(x)^2+d(x)dxdy-e(x) [/tex]

the functions a,b,c,d,e are here not very important, what I dont understand, is that there is terms in [tex]\frac{dy}{dx}[/tex] and [tex]dxdy[/tex].....What does this mean ?

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# Geodesic equation

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