Mathematica problem: How to solve coupled differential equations with no 'independent' variable?

Question

I am attempting to solve two coupled equations in two variables, say x and y. The problem is that one of the equations contains a term in dy/dx. There is no 'independent' variable per se. Both equations are quite nonlinear are require numerical solution. The NSolve and FindRoot functions will not work because of the differential while the Dsolve or NDsolve will not seem to work because of the lack of an 'independent variable to input. Any suggestions on how to approach this problem?

I am attempting to solve two coupled equations in two variables, say x and y. The problem is that one of the equations contains a term in dy/dx. There is no 'independent' variable per se. Both equations are quite nonlinear are require numerical solution. The NSolve and FindRoot functions will not work because of the differential while the Dsolve or NDsolve will not seem to work because of the lack of an 'independent variable to input. Any suggestions on how to approach this problem?

The equations are quite complicated, but for example's sake lets say that they are something like:
y + 1/y + dy/dx = 0
y = Log[y/(x^2(1-y))]

The actuall equations are algebraically far worse than this and thus require numerical solution.

Answer 1

cud u post the equations

Answer 2

Mathematica Coupled Differential Equations

Answer 3

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