Question: Find the largest interval on which the following initial value problem is guaranteed to have a unique solution:(t2-9)y''2t(t-4)y'3ty=t-2e-t,y(2)=-1,y'(2)=3

Find the largest interval on which the following initial value problem is guaranteed to have a unique solution:(t2-9)y''2t(t-4)y'3ty=t-2e-t,y(2)=-1,y'(2)=3

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