What is the solution for (y+x+(y^2)/x)dx-xdy=0 ?

The solution for (y+x+(y^2)/x)dx-xdy=0 is y=tan(ln(x)+c_{1})x

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(y+x+(y^2)/x)dx-xdy=0

(y + x + \frac{y ^{2}}{x}) d x - x d y = 0

y = tan (ln (x) + c_{1}) x

Solution steps

(y + x + \frac{y ^{2}}{x}) d x - x d y = 0

Solve using substitution:

y = tan (ln (x) + c_{1}) x

y = tan (ln (x) + c_{1}) x

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What is the solution for (y+x+(y^2)/x)dx-xdy=0 ?
The solution for (y+x+(y^2)/x)dx-xdy=0 is y=tan(ln(x)+c_{1})x