What is the solution for (dy)/(dx)=(x/y) ?

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

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(dy)/(dx)=(x/y)

\frac{d y}{d x} = (\frac{x}{y})

y = x^{2} + c_{1}, y = - x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = (\frac{x}{y})

Solve separable ODE:

y = x^{2} + c_{1}, y = - x^{2} + c_{1}

y = x^{2} + c_{1}, y = - x^{2} + c_{1}

\frac{4}{x}, 1

\frac{d}{d x} ((3 x^{2} + 3) (2 x^{2} + 1))

2 x^{2} - 2 x + 4

y^{^{'''}} - 9 y^{^{''}} + 18 y^{^{'}} = e^{e^{- 3 x}}

\frac{\partial}{\partial t} (\frac{r}{t})

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