Q. 295.0( 1 Vote )

# Solve the followi

Given

This is a first order linear differential equation of the form

Here, and Q = x2 + 2

The integrating factor (I.F) of this differential equation is,

We have

[ m log a = log am]

[ elog x = x]

Hence, the solution of the differential equation is,

Recall and

y = (x2 + 1)(x + tan–1x + c)

Thus, the solution of the given differential equation is y = (x2 + 1)(x + tan–1x + c)

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