(1 point) The system $x' = 9x^2$, $y' = 10y^2$ has an isolated critical point at (0,0), but the system is not almost linear. Solve the system for an initial point $(x(0), y(0)) = (a, b)$, where neither a nor b are zero (recall how to solve separable equations). Use t for your time variable:
x(t) =
y(t) =
Based on this solution, the system behaves like what at the origin?
Bahavior:
Type "sink", "source", "saddle", "spiral sink", "spiral source", "center".