What is the solution for (dy)/(dx)= x/(36y) ?

The solution for (dy)/(dx)= x/(36y) is y=(sqrt(c_{1)+x^2})/6 ,y=-(sqrt(c_{1)+x^2})/6

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(dy)/(dx)= x/(36y)

\frac{d y}{d x} = \frac{x}{36 y}

y = \frac{c _{1} + x ^{2}}{6}, y = - \frac{c _{1} + x ^{2}}{6}

Solution steps

\frac{d y}{d x} = \frac{x}{36 y}

Solve separable ODE:

y = \frac{c _{1} + x ^{2}}{6}, y = - \frac{c _{1} + x ^{2}}{6}

y = \frac{c _{1} + x ^{2}}{6}, y = - \frac{c _{1} + x ^{2}}{6}

What is the solution for (dy)/(dx)= x/(36y) ?
The solution for (dy)/(dx)= x/(36y) is y=(sqrt(c_{1)+x^2})/6 ,y=-(sqrt(c_{1)+x^2})/6