Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Ordinary Differential Equations System of ODE
For the following system of ordinary differential equations
\(\frac{dx}{dt}=x(3-2x-2y),\)
\(\frac{dy}{dt}=y(2-2x-y),\)
the critical point (0, 2) is
1
a stable spiral
2
an unstable spiral
3
a stable node
4
an unstable node