What are the equilibrium solutions for the differential equation
y^(')=y^(3)-9y
. Use the method of isoclines to sketch the direction field of that equation. Determine the largest interval
y^(')=(2 t)y (ln|t^(-1) t|)/(t-3)y(5)=0y((3)/(2))=-1y(-(1)/(2))=1y(-3)=2a on which the Existence and Uniqueness Theorem guarantees solutions for
y^(')=(2 t)y (ln|t^(-1) t|)/(t-3)
(a) y(5)=0
(b) y((3)/(2))=-1
(c) y(-(1)/(2))=1
(d) y(-3)=2