Q. 475.0( 2 Votes )

# Integrating factor of the differential equation is:

A. -x

B.

C.

D.

Answer :

Divide throughout by (1 – x^{2})

Compare with

we get and

The IF integrating factor is given by e^{∫Pdx}

Substitute 1 – x^{2} = t hence

which means

Hence

⇒ e^{∫Pdx} = e^{log√t}

⇒ e^{∫Pdx} = √t

Resubstitute t

Hence the IF integrating factor is

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