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

(9 x^{6} + 2 x^{3})^{4}

y = 6 + 4 x^{2} - 2 x^{3}, at x = a

\frac{d}{d t} (e^{- t} sin (t))

\int \frac{arcsin ( 7 x )}{1 - 49 x ^{2}} d x

ln (\frac{5}{x ^{2}})

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