What is the solution for (dy)/(dx)=(x^2+y^2+xy)/(x^2) ?

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

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(dy)/(dx)=(x^2+y^2+xy)/(x^2)

\frac{d y}{d x} = \frac{x ^{2} + y ^{2} + x y}{x ^{2}}

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

Solution steps

\frac{d y}{d x} = \frac{x ^{2} + y ^{2} + x y}{x ^{2}}

Solve using substitution:

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

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

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