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

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

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

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

y = x 2 ln (x) + c_{1}, y = - x 2 ln (x) + c_{1}

Solution steps

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

Solve Bernoulli ODE:

y = x 2 ln (x) + c_{1}, y = - x 2 ln (x) + c_{1}

y = x 2 ln (x) + c_{1}, y = - x 2 ln (x) + c_{1}

8 x^{4} + 7 sin (x)

5 cos (3 x), 5 - 5 cos (3 x), 0, \frac{π}{3}

y^{^{'}} = \frac{x}{18 y}

\int - 4 x (3 x^{2} - 1)^{7} d x

\frac{d}{d x} (lo g_{2} (3 x))

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