The system æ' = 4x², y' = 5y? 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: æ(t) = help (formulas) y(t) = help (formulas) Based on this solution, the system behaves like what at the origin?

Q: critical

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