What is the solution for (dy)/(dx)=-(2xy)/(x^2+36) ?

The solution for (dy)/(dx)=-(2xy)/(x^2+36) is y=(c_{1})/(x^2+36)

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(dy)/(dx)=-(2xy)/(x^2+36)

\frac{d y}{d x} = - \frac{2 x y}{x ^{2} + 36}

y = \frac{c _{1}}{x ^{2} + 36}

Solution steps

\frac{d y}{d x} = - \frac{2 x y}{x ^{2} + 36}

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 36}

y = \frac{c _{1}}{x ^{2} + 36}

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What is the solution for (dy)/(dx)=-(2xy)/(x^2+36) ?
The solution for (dy)/(dx)=-(2xy)/(x^2+36) is y=(c_{1})/(x^2+36)