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(Solved): For each of the differential equations below, use qualitative analysis to sketch a family of represe ...
For each of the differential equations below, use qualitative analysis to sketch a family of representative
solutions. ^(()(1)) Then, in another color pen or pencil, sketch the graphs of the solutions corresponding to
the given initial conditions.
(a) (dy)/(dt)=y^(2)-4;y(0)=-1,y(0)=-3,y(0)=3.
(b) (dP)/(dt)=(P-2)^(2)(7-P);P(0)=1,P(0)=3,P(0)=4.
(c) (dy)/(dt)=f(y), where f is the function whose graph is shown below; y(0)=0,y(0)=-2.