Question: Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist. (25 t2)y' + Qty

Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist. (25 t2)y' + Qty 2 87:2, y(8) = 1 to. Afterward, the two solutions are matched so that y is continuous at to; this is accomplished by a proper choice of the arbitrary constants. The following problem illustrates this situation. Note that it is impossible also to make (if continuous at to. Solve the initial value problem. yW4y=ym%=Q where (0 L ogtgi g _ 0, t>1. ,OEtgl MU

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