Q38 of 462 Page 22

Find the general solution of the differential equation.

Given





This is a first order linear differential equation of the form



Here, and Q = x


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





We have



[ m log a = log am]


I.F = x2 [ elog x = x]


Hence, the solution of the differential equation is,





Recall






Thus, the solution of the given differential equation is


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