What is the solution for xtan(y/x)+y-xy^'=0 ?

The solution for xtan(y/x)+y-xy^'=0 is y=arcsin(c_{1}x)x+2pinx,y=pix+arcsin(-c_{1}x)x+2pinx

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xtan(y/x)+y-xy^'=0

x tan (\frac{y}{x}) + y - x y^{^{'}} = 0

y = arcsin (c_{1} x) x + 2 πn x, y = π x + arcsin (- c_{1} x) x + 2 πn x

Solution steps

x tan (\frac{y}{x}) + y - x y^{'} (x) = 0

Solve using substitution:

y = arcsin (c_{1} x) x + 2 πn x, y = π x + arcsin (- c_{1} x) x + 2 πn x

y = arcsin (c_{1} x) x + 2 πn x, y = π x + arcsin (- c_{1} x) x + 2 πn x

\int_{1}^{2} (x + \frac{1}{x ^{2}}) d x

x \to - 5 + lim (\frac{- 2 x}{x + 5})

\int 10

x \to 1 - lim (x - 1)

y^{^{'}} = 1 - x + y - x y

What is the solution for xtan(y/x)+y-xy^'=0 ?
The solution for xtan(y/x)+y-xy^'=0 is y=arcsin(c_{1}x)x+2pinx,y=pix+arcsin(-c_{1}x)x+2pinx