What is the solution for (dy}{dx}=-\frac{6x)/y ?

The solution for (dy}{dx}=-\frac{6x)/y is y=sqrt(-6x^2+c_{1)},y=-sqrt(-6x^2+c_{1)}

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(dy}{dx}=-\frac{6x)/y

\frac{d y}{d x} = - \frac{6 x}{y}

y = - 6 x^{2} + c_{1}, y = - - 6 x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = - \frac{6 x}{y}

Solve separable ODE:

y = - 6 x^{2} + c_{1}, y = - - 6 x^{2} + c_{1}

y = - 6 x^{2} + c_{1}, y = - - 6 x^{2} + c_{1}

\frac{200}{t + 2}

\int \frac{6000 - 2000 x}{( x ^{2} - 6 x + 10 ) ^{2}} d x

x^{2} y^{^{''}} - 4 x y^{^{'}} - 6 y = 0

\frac{5 e ^{x} x ^{\frac{3}{2}}}{2} + e^{x} x^{\frac{5}{2}}

2 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 6 x e^{- y}

What is the solution for (dy}{dx}=-\frac{6x)/y ?
The solution for (dy}{dx}=-\frac{6x)/y is y=sqrt(-6x^2+c_{1)},y=-sqrt(-6x^2+c_{1)}