Question: Verify that the function is a solution of the differential equation on some interval, for any choice of the arbitrary constants appearing in the function.

Verify that the function is a solution of the differential equation on some interval, for any choice of the arbitrary constants appearing in the function. (a) y = ce2x. y' = 2y (b) y= + - xy ty=x2 3 X (c) y + 2xy = x (d) y = (1 + ce-x /2); (1 -ce-x /2)-1 2y'+x(12 -1)=0 (e) y = tan 3

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