What is the solution for (dy)/(dx)=(3x)/(5y) ?

The solution for (dy)/(dx)=(3x)/(5y) is y=sqrt((3x^2)/5+c_{1)},y=-sqrt((3x^2)/5+c_{1)}

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(dy)/(dx)=(3x)/(5y)

\frac{d y}{d x} = \frac{3 x}{5 y}

y = \frac{3 x ^{2}}{5} + c_{1}, y = - \frac{3 x ^{2}}{5} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{3 x}{5 y}

Solve separable ODE:

y = \frac{3 x ^{2}}{5} + c_{1}, y = - \frac{3 x ^{2}}{5} + c_{1}

y = \frac{3 x ^{2}}{5} + c_{1}, y = - \frac{3 x ^{2}}{5} + c_{1}

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What is the solution for (dy)/(dx)=(3x)/(5y) ?
The solution for (dy)/(dx)=(3x)/(5y) is y=sqrt((3x^2)/5+c_{1)},y=-sqrt((3x^2)/5+c_{1)}