Q. 315.0( 1 Vote )

Solve the following differential equations:

Answer :


[ x2 – 1 = (x + 1)(x – 1)]

This is a first order linear differential equation of the form

Here, and

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

We have and

[ m log a = log am]

[ log a + log b = log ab]

[ elog x = x]

Hence, the solution of the differential equation is,

We can write (x – 1)2 = (x + 1)2 – 4x

Recall and

Thus, the solution of the given differential equation is

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