What is the solution for (dy}{dx}=-\frac{5x)/y ?

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

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(dy}{dx}=-\frac{5x)/y

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

y = - 5 x^{2} + c_{1}, y = - - 5 x^{2} + c_{1}

Solution steps

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

Solve separable ODE:

y = - 5 x^{2} + c_{1}, y = - - 5 x^{2} + c_{1}

y = - 5 x^{2} + c_{1}, y = - - 5 x^{2} + c_{1}

\frac{d}{d x} (e^{t a n (2 x + 1)})

x \to 5 - lim (∣ x - 5 ∣)

\int - cos (x) + sin (x) + 2 d x

\frac{d}{d x} (- 5 x + 5)

x \to 9 + lim (ln (x - 9))

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