What is the solution for (dy)/(dx)=-1/(5xy) ?

The solution for (dy)/(dx)=-1/(5xy) is y=sqrt((-2ln(x)+c_{1))/5},y=-sqrt((-2ln(x)+c_{1))/5}

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(dy)/(dx)=-1/(5xy)

\frac{d y}{d x} = - \frac{1}{5 x y}

y = \frac{- 2 ln ( x ) + c _{1}}{5}, y = - \frac{- 2 ln ( x ) + c _{1}}{5}

Solution steps

\frac{d y}{d x} = - \frac{1}{5 x y}

Solve separable ODE:

y = \frac{- 2 ln ( x ) + c _{1}}{5}, y = - \frac{- 2 ln ( x ) + c _{1}}{5}

y = \frac{- 2 ln ( x ) + c _{1}}{5}, y = - \frac{- 2 ln ( x ) + c _{1}}{5}

\int (\frac{ln ( x )}{x})^{2} d x

\frac{\partial}{\partial x} (300 - 20 x^{2} + 30 y)

x \frac{d y}{d x} + 1 y = 6 y^{2}, y (1) = - 1

n = 1 \sum \infty \frac{1}{2 n + 3}

x^{2} + 6

What is the solution for (dy)/(dx)=-1/(5xy) ?
The solution for (dy)/(dx)=-1/(5xy) is y=sqrt((-2ln(x)+c_{1))/5},y=-sqrt((-2ln(x)+c_{1))/5}