What is the solution for (dy)/(dx)=(8x)/(3y) ?

The solution for (dy)/(dx)=(8x)/(3y) is y=sqrt((8x^2)/3+c_{1)},y=-sqrt((8x^2)/3+c_{1)}

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(dy)/(dx)=(8x)/(3y)

\frac{d y}{d x} = \frac{8 x}{3 y}

y = \frac{8 x ^{2}}{3} + c_{1}, y = - \frac{8 x ^{2}}{3} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{8 x}{3 y}

Solve separable ODE:

y = \frac{8 x ^{2}}{3} + c_{1}, y = - \frac{8 x ^{2}}{3} + c_{1}

y = \frac{8 x ^{2}}{3} + c_{1}, y = - \frac{8 x ^{2}}{3} + c_{1}

x \to 0 lim (arcsin (x^{3}))

\int \frac{sin ( \frac{8}{x} )}{x ^{2}} d x

\frac{d}{d x} (\frac{1 - x ^{2}}{x - 3})

\int_{- π}^{π} cos^{2} (n x) d x

e^{x^{2}}, 0

What is the solution for (dy)/(dx)=(8x)/(3y) ?
The solution for (dy)/(dx)=(8x)/(3y) is y=sqrt((8x^2)/3+c_{1)},y=-sqrt((8x^2)/3+c_{1)}