A differential equation is given. Classify it as an ordinary differential equation$($ODE$)$ or a partial differential equation$($PDE$),$ give the$$ order, and indicate the independent and dependent variables. If the equation is an ordinary differential$$ equation, indicate whether the equation is linear or nonlinear.

StartFraction dy Over dx EndFraction equals StartFraction y left parenthesis $3$ minus $10$ x right parenthesis Over x left parenthesis $3$ minus $10$ y right parenthesis EndFractiondydx$=$y$(310$x$)$x$(310$y$)$

$($competition between two$$ species, ecology$)$