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}

\frac{8}{s ^{2} + 64}

\int (4 x^{3} + 6 x^{2} - 1) d x

\int csc (\frac{x}{2}) d x

\frac{\partial}{\partial y} (10 x y)

\frac{1}{x ^{2} - 2 x - 3}

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