Consider the autonomous differential equation y'(t)=f(y(t)), where f is a differentiable function. Let y* be such that f(y*)=0.
Why is it that if f'(y*)<0 then y* is a (asymptotically) stable equilibrium?
Thanks in advance.
Consider the autonomous differential equation y'(t)=f(y(t)), where f is a differentiable function. Let y* be such that f(y*)=0.
Why is it that if f'(y*)<0 then y* is a (asymptotically) stable equilibrium?
Thanks in advance.