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}

9 x^{2}

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

a x^{2} + b x + c

\frac{d y}{d x} + \frac{x}{y} = 0

x y^{^{'}} + 2 y = \frac{3 e ^{- 3 x}}{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)}