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

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

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

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

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

Solution steps

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

Solve using substitution:

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

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

\int_{0}^{2} 2 d x

f (x) = (x + 2) (e^{- x})

\int 3 x cos (9 x) d x

f (x) = x^{3} - 2 x + 1

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