What is the solution for (xy^')/(y^2)sin(x/y)= 1/y sin(x/y) ?

The solution for (xy^')/(y^2)sin(x/y)= 1/y sin(x/y) is y=c_{1}x

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(xy^')/(y^2)sin(x/y)= 1/y sin(x/y)

\frac{x y ^{^{'}}}{y ^{2}} sin (\frac{x}{y}) = \frac{1}{y} sin (\frac{x}{y})

y = c_{1} x

Solution steps

\frac{x y ^{'} ( x )}{y ^{2}} sin (\frac{x}{y}) = \frac{1}{y} sin (\frac{x}{y})

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What is the solution for (xy^')/(y^2)sin(x/y)= 1/y sin(x/y) ?
The solution for (xy^')/(y^2)sin(x/y)= 1/y sin(x/y) is y=c_{1}x