What is the solution for (dy)/(dx)= x/(10y) ?

The solution for (dy)/(dx)= x/(10y) is y=sqrt((x^2)/(10)+c_{1)},y=-sqrt((x^2)/(10)+c_{1)}

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(dy)/(dx)= x/(10y)

\frac{d y}{d x} = \frac{x}{10 y}

y = \frac{x ^{2}}{10} + c_{1}, y = - \frac{x ^{2}}{10} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{x}{10 y}

Solve separable ODE:

y = \frac{x ^{2}}{10} + c_{1}, y = - \frac{x ^{2}}{10} + c_{1}

y = \frac{x ^{2}}{10} + c_{1}, y = - \frac{x ^{2}}{10} + c_{1}

y = 2 x^{3} - x^{2} + 1, (2, 13)

\frac{d}{d x} (\frac{π 8100 + x ^{2}}{x})

\frac{4}{x + 10}

x \to + 1 + lim (\frac{5}{x ^{3} - 1})

\frac{d}{d x} (\frac{1}{1 - sin ( x )})

What is the solution for (dy)/(dx)= x/(10y) ?
The solution for (dy)/(dx)= x/(10y) is y=sqrt((x^2)/(10)+c_{1)},y=-sqrt((x^2)/(10)+c_{1)}