A differential equation and various initial conditions are specified. Sketch the graphs of the solutions satisfying these initia
l conditions. For each exercise, put all graphs on one pair of axes.
a. dy/dt=3y(y-2); y(0)=1; y(-2)= -1; y(0)=3; y(0)=2.
b. dy/dt=cos y; y(0)=0; y(-1)=1; y(0)= -pi/2; y(0)=pi.
c. dv/dt= -v2-2v-2; v(0)=0; v(1)=1; v(0)=1
a. dy/dt=3y(y-2); y(0)=1; y(-2)= -1; y(0)=3; y(0)=2.
b. dy/dt=cos y; y(0)=0; y(-1)=1; y(0)= -pi/2; y(0)=pi.
c. dv/dt= -v2-2v-2; v(0)=0; v(1)=1; v(0)=1
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