For (y^{prime}=y-y^{2}), find the general solution corresponding to (y(0)=y_{0}). Provide specific solutions for the following initial conditions

Question:

For \(y^{\prime}=y-y^{2}\), find the general solution corresponding to \(y(0)=y_{0}\). Provide specific solutions for the following initial conditions and sketch them:

a. \(y(0)=0.25\),

b. \(y(0)=1.5\), and

c. \(y(0)=-0.5\).

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