- #1

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## Homework Statement

dx/dt=1-1/y

dy/dt=1/(x-t)

## The Attempt at a Solution

If I take the derivative of the second equation and substitute it to the first one I

[tex] \frac{d^2 y}{dt^2} - \frac{1}{y} (\frac{dy}{dt})^2 = 0 [/tex]

but I don't know how to solve this. Could anyone name any methods that could try?

Thanks.