What is the solution for (dy)/(dx)=(5x^2)/(8y^2) ?

The solution for (dy)/(dx)=(5x^2)/(8y^2) is y=(\sqrt[3]{c_{1}+5x^3})/2

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(dy)/(dx)=(5x^2)/(8y^2)

\frac{d y}{d x} = \frac{5 x ^{2}}{8 y ^{2}}

y = \frac{3 c _{1} + 5 x ^{3}}{2}

Solution steps

\frac{d y}{d x} = \frac{5 x ^{2}}{8 y ^{2}}

Solve separable ODE:

y = \frac{3 c _{1} + 5 x ^{3}}{2}

y = \frac{3 c _{1} + 5 x ^{3}}{2}

\frac{d y}{d x} = x y^{2} e^{x}, y (0) = 2

\frac{d y}{d x} = \frac{x ^{2} - 1}{y ^{2}}, y (0) = 2

\frac{d x}{d y} = \frac{1 + x ^{2}}{y}

cos (y) \frac{d y}{d x} = \frac{- x sin ( y )}{1 + x ^{2}}

2 x^{^{'}} + x = 10

What is the solution for (dy)/(dx)=(5x^2)/(8y^2) ?
The solution for (dy)/(dx)=(5x^2)/(8y^2) is y=(\sqrt[3]{c_{1}+5x^3})/2