Given that $\alpha$ is real, I'm being asked to give a basic analysis for this nonlinear ODE. However the problem is that I'm having trouble understanding how to pick the conditions we need to study for alpha before determining stability, instability or semi stability? Can someone help me understand this better?
2026-03-27 20:31:28.1774643488
Study the stability of the following ODE: $u'=u(1-u)-\alpha$
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