What is the solution for (dy)/(dx)=(10x)/(7y) ?

The solution for (dy)/(dx)=(10x)/(7y) is y=sqrt((10x^2)/7+c_{1)},y=-sqrt((10x^2)/7+c_{1)}

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(dy)/(dx)=(10x)/(7y)

\frac{d y}{d x} = \frac{10 x}{7 y}

y = \frac{10 x ^{2}}{7} + c_{1}, y = - \frac{10 x ^{2}}{7} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{10 x}{7 y}

Solve separable ODE:

y = \frac{10 x ^{2}}{7} + c_{1}, y = - \frac{10 x ^{2}}{7} + c_{1}

y = \frac{10 x ^{2}}{7} + c_{1}, y = - \frac{10 x ^{2}}{7} + c_{1}

\frac{d}{d t} (1 + t^{3})

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\int \frac{x}{x + 5} d x

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\frac{\partial}{\partial x} (2 x y)

What is the solution for (dy)/(dx)=(10x)/(7y) ?
The solution for (dy)/(dx)=(10x)/(7y) is y=sqrt((10x^2)/7+c_{1)},y=-sqrt((10x^2)/7+c_{1)}