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

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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