Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Ordinary Differential Equations System of ODE
For the following system of ordinary differential equations
\(\frac{dx}{dt}=x(1+x+y),\)
\(\frac{dy}{dt}=y(2-x-4y)\)
the critical point (-2, 1) is
1
asymptotically stable node
2
unstable node
3
stable spiral
4
unstable spiral
5
Question Not Attempted