Maths-
General
Easy

Question

The integrating factor of the differential equation fraction numerator d y over denominator d x end fraction left parenthesis x log space x right parenthesis plus b equals 2 log space x is given by

  1. e to the power of x
  2. log x
  3. log space left parenthesis log space x right parenthesis
  4. x

hintHint:

In this question we have to find the integrating factor of the given equation. For this we will bring the equation in the form of fraction numerator d y over denominator d x end fraction plus a y equals b and IF =e to the power of integral a space d x end exponent.

The correct answer is: log x


    fraction numerator d y over denominator d x end fraction left parenthesis x log space x right parenthesis plus y equals 2 log space x
d i v i d i n g space x log x comma
rightwards double arrow fraction numerator d y over denominator d x end fraction plus fraction numerator y over denominator x space log x end fraction equals 2 over x
I F equals e to the power of integral fraction numerator 1 over denominator x space log x end fraction d x end exponent equals e to the power of log left parenthesis log x right parenthesis end exponent equals log space x

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