Q. 24

Mark the correct alternative in each of the following:

Which of the following transformations reduce the differential equation into the form

A. u = log x

B. u = ex

C. u = (logz)–1

D. u = (logz)2

Answer :

Dividing z(log z)2 both sides we get,


Put (log z)-1 = u

Differentiate w.r.t x

Putting values in (1) we get,

The above equation is of the form

So the required substitution is u = (logz)–1 = (C)

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