Find the particular solution of the differential equation dx + xdy = 0, it being given that y = when x = 1.




⇒ the given differential equation is a homogenous equation.


The solution of the given differential equation is :


Put y = vx






Integrating both the sides we get:




Resubstituting the value of y = vx we get



y = when x = 1



⇒ c = 1


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