Q. 315.0( 1 Vote )

Solve the following differential equations:


Answer :

Given




[ 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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