Question

The nonlinear system below has a critical point at (0,0). Find the linearized system at (0,0).
[dx/dt = -x]
[dy/dt = -4x³ y]
a) [dx/dt = -x]
[dy/dt = 0]
b) [dx/dt = -x]
[dy/dt = -4xy]
c) [dx/dt = 0]
[dy/dt = -4x³ y]
d) [dx/dt = 0]
[dy/dt = 0]