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## Homework Statement

Show that there is no solution for the system

[tex]u_x - 2.999999x^2 y + y = 0,[/tex]

[tex]u_y - x^3 + x = 0.[/tex]

## Homework Equations

## The Attempt at a Solution

I took the first equation and integrated w.r.t x, then differentiated w.r.t y. But I'm not sure if it helps:

[tex]u_y - \frac{2.999999}{3}x^3 + x = f'(y)[/tex] where f(y) is an arbitrary function of y.