Q. 23

Mark the correct alternative in each of the following:

The differential equation which represents the family of curves y = eCx is

A. y1 = C2 y

B. xy1 – ln y = 0

C. x ln y = yy1

D. y ln y = xy1

Answer :

y = eCx

Taking log both sides we get,


log y = log eCx


log y = Cx log e log ax = x log a


log y = Cx --(1) log e = 1


Differentiate w.r.t x we get,



Put value of C in (1) we get,




Which is y ln y = xy1 = (D)

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