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Find the particular solution of the differential equation xdy/dx - y + x sin (y/x) = 0, given that when x = 2, y = pi

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Find the particular solution of the differential equation xdy/dx - y + x sin (y/x) = 0, given that when x = 2, y = pi

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We have,

It is evident that the given differential equation is equation homogeneous.

(On differentiating w.r.t. x on both sides)

Substituting these in equation (i), we have

This is the required particular solution of the given differential equation.

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