What is the solution for (dy)/(dx)=(8x)/(5y) ?

The solution for (dy)/(dx)=(8x)/(5y) is y=sqrt((8x^2)/5+c_{1)},y=-sqrt((8x^2)/5+c_{1)}

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(dy)/(dx)=(8x)/(5y)

\frac{d y}{d x} = \frac{8 x}{5 y}

y = \frac{8 x ^{2}}{5} + c_{1}, y = - \frac{8 x ^{2}}{5} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{8 x}{5 y}

Solve separable ODE:

y = \frac{8 x ^{2}}{5} + c_{1}, y = - \frac{8 x ^{2}}{5} + c_{1}

y = \frac{8 x ^{2}}{5} + c_{1}, y = - \frac{8 x ^{2}}{5} + c_{1}

\int (x^{2} + 4)^{2} d x

x \to \infty lim (- 5 x^{3})

\int x^{3} - 3 x d x

\frac{d}{d x} (100 e^{x})

y^{^{''}} + y = tan (x)

What is the solution for (dy)/(dx)=(8x)/(5y) ?
The solution for (dy)/(dx)=(8x)/(5y) is y=sqrt((8x^2)/5+c_{1)},y=-sqrt((8x^2)/5+c_{1)}