Mark the correct alternative in each of the following:
The differential equation which represents the family of curves y = eCx is
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)