Question: Determine the longest interval in which the following initial value problem(x2-4)y'''+(x2-16)y''+(x-2)y'+(x+2)y=(x2-4)sinxy(0)=1,y'(1)=2,y''(0)=3is certain to have a unique solution.

Determine the longest interval in which the following initial value problem(x2-4)y'''+(x2-16)y''+(x-2)y'+(x+2)y=(x2-4)sinxy(0)=1,y'(1)=2,y''(0)=3is certain to have a unique solution.

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