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Find all equilibrium solutions of the equation dydx = y^2 - 1. Use o.pdf

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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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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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Find all equilibrium solutions of the equation dydx = y^2 - 1. Use o.pdf

  • 1. 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