Q. 36 L5.0( 1 Vote )

Find one-parameter families of solution curves of the following differential equations:


Answer :


Given





This is a first order linear differential equation of the form



Here, and Q = x log 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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