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lavinia
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dc/dx = x[itex]^{2}[/itex]e[itex]^{-xc}[/itex]
?? it doesnt seem too simple, first its non separable non linear, but it is only first order. not quite sure what the post is for
Hi Raymo I must apologise. The equationI wrote is wrong.
The right equation is dc/dx = e[itex]^{-xc}[/itex]
This solves for the y coordinate of a unit speed geodesic in the plane with a particular metric of constant negative curvature. The x coordinate is easy. Maybe a conformal change of coordinates would give an easier equation.
Make the subst, [itex]u(x) \equiv x \, c(x)[/itex] and see what ODE you get for [itex]u(x)[/itex].