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## Main Question or Discussion Point

Hi, I am trying to decide whether y(t) = c1t^2 + c2 t^−1, where c1 and c2 are arbitrary constants, is the general solution of the diﬀerential equation (t^2)y'' − 2y = 0 for t > 0 and justify the answer, but I don't really know how to approach it from this "side" of the problem.

Any suggestions would be greatly appreciated.

Any suggestions would be greatly appreciated.

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