Question: (15 points) Rewrite the following initial value problems so that they can be solved withone of the initial- value problem solvers we studied:(a)y(t)+2y(t)y'(t)-y'(t)=0,y(t0)=y0,(b)logy'(t)=t2-y2(t),y(t0)=y0,(c)y'''(t)+[y''(t)]2-3[y'(t)]3+cos2(y(t))=e-tsin(3t), with y(1)=1,y'(1)=2,y''(1)=

(15 points) Rewrite the following initial value problems so that they can be solved withone of the initial- value problem solvers we studied:(a)y(t)+2y(t)y'(t)-y'(t)=0,y(t0)=y0,(b)logy'(t)=t2-y2(t),y(t0)=y0,(c)y'''(t)+[y''(t)]2-3[y'(t)]3+cos2(y(t))=e-tsin(3t), with y(1)=1,y'(1)=2,y''(1)=

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