What is the solution for (dy)/(dx)=(9x)/(10y) ?

The solution for (dy)/(dx)=(9x)/(10y) is y=sqrt((9x^2)/(10)+c_{1)},y=-sqrt((9x^2)/(10)+c_{1)}

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(dy)/(dx)=(9x)/(10y)

\frac{d y}{d x} = \frac{9 x}{10 y}

y = \frac{9 x ^{2}}{10} + c_{1}, y = - \frac{9 x ^{2}}{10} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{9 x}{10 y}

Solve separable ODE:

y = \frac{9 x ^{2}}{10} + c_{1}, y = - \frac{9 x ^{2}}{10} + c_{1}

y = \frac{9 x ^{2}}{10} + c_{1}, y = - \frac{9 x ^{2}}{10} + c_{1}

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What is the solution for (dy)/(dx)=(9x)/(10y) ?
The solution for (dy)/(dx)=(9x)/(10y) is y=sqrt((9x^2)/(10)+c_{1)},y=-sqrt((9x^2)/(10)+c_{1)}