Bob, Glen, and Paul are once again sitting around enjoying their nice, cold glasses of ice...

Bob, Glen, and Paul are once again sitting around enjoying their nice, cold glasses of iced cappucino when one of their students asks them to come up with solutions to the differential equation

After much discussion, Bob says y(t) = t, Glen says y(t) = 2t + 1, and Paul says y(t) = t2 − 2.

(a) Who is right?

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(b) What solution should they have seen right away?