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Find all equilibrium solutions of the equation dy/dx = y^2 - 1. Use only qualitative analysis to
sketch the graphs of solutions having various representative initial values y(0).
Solution
Equilibrium solutions are given by dy/dt=0
so y2-1=0
(y+1)(y-1)=0
y=-1,y=1
tharefore y=-1,y=1 are equilibrium solutions

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