What is the solution for x((dy)/(dx))=xtan(y/x)+y ?

The solution for x((dy)/(dx))=xtan(y/x)+y is y=arcsin(c_{1}x)x+2pinx,y=pix+arcsin(-c_{1}x)x+2pinx

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x((dy)/(dx))=xtan(y/x)+y

x (\frac{d y}{d x}) = x tan (\frac{y}{x}) + y

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

Solution steps

x (\frac{d y}{d x}) = x tan (\frac{y}{x}) + y

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

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