What is the solution for (dy)/(dx)=(6x)/(5y) ?

The solution for (dy)/(dx)=(6x)/(5y) is y=sqrt((6x^2)/5+c_{1)},y=-sqrt((6x^2)/5+c_{1)}

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(dy)/(dx)=(6x)/(5y)

\frac{d y}{d x} = \frac{6 x}{5 y}

y = \frac{6 x ^{2}}{5} + c_{1}, y = - \frac{6 x ^{2}}{5} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{6 x}{5 y}

Solve separable ODE:

y = \frac{6 x ^{2}}{5} + c_{1}, y = - \frac{6 x ^{2}}{5} + c_{1}

y = \frac{6 x ^{2}}{5} + c_{1}, y = - \frac{6 x ^{2}}{5} + c_{1}

\int_{0}^{π^{2}} sin (x) d x

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\frac{4}{S} + \frac{6}{S ^{5}} - \frac{1}{S + 8}

\frac{d}{d x} (- \frac{2}{5} x^{\frac{5}{2}} + 32 x^{\frac{1}{2}})

What is the solution for (dy)/(dx)=(6x)/(5y) ?
The solution for (dy)/(dx)=(6x)/(5y) is y=sqrt((6x^2)/5+c_{1)},y=-sqrt((6x^2)/5+c_{1)}