What is the solution for (dy)/(dx)+x/y =0 ?

The solution for (dy)/(dx)+x/y =0 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}

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(dy)/(dx)+x/y =0

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

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

Solution steps

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

Solve separable ODE:

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

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

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

\frac{\partial}{\partial x} (y^{2} - x^{2} - 10)

\frac{t d y}{d t} = t^{3} + 23 t^{3} y

\frac{( 6 x ^{2} - 5 ) ( x ^{2} - 6 )}{x ^{2} + 4}

y^{^{''}} - \frac{2 3}{3} y^{^{'}} + \frac{2}{9} = 0

What is the solution for (dy)/(dx)+x/y =0 ?
The solution for (dy)/(dx)+x/y =0 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}