Q. 295.0( 1 Vote )

Solve the following differential equations:


Answer :

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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