What is the solution for (dy)/(dx)=(5x)/(7y) ?

The solution for (dy)/(dx)=(5x)/(7y) is y=sqrt((5x^2)/7+c_{1)},y=-sqrt((5x^2)/7+c_{1)}

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(dy)/(dx)=(5x)/(7y)

\frac{d y}{d x} = \frac{5 x}{7 y}

y = \frac{5 x ^{2}}{7} + c_{1}, y = - \frac{5 x ^{2}}{7} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{5 x}{7 y}

Solve separable ODE:

y = \frac{5 x ^{2}}{7} + c_{1}, y = - \frac{5 x ^{2}}{7} + c_{1}

y = \frac{5 x ^{2}}{7} + c_{1}, y = - \frac{5 x ^{2}}{7} + c_{1}

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What is the solution for (dy)/(dx)=(5x)/(7y) ?
The solution for (dy)/(dx)=(5x)/(7y) is y=sqrt((5x^2)/7+c_{1)},y=-sqrt((5x^2)/7+c_{1)}