What is the solution for (dy)/(dx)=((x^3))/(y^2) ?

The solution for (dy)/(dx)=((x^3))/(y^2) is y=\sqrt[3]{(3x^4)/4+c_{1}}

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(dy)/(dx)=((x^3))/(y^2)

\frac{d y}{d x} = \frac{( x ^{3} )}{y ^{2}}

y = 3 \frac{3 x ^{4}}{4} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{( x ^{3} )}{y ^{2}}

Solve separable ODE:

y = 3 \frac{3 x ^{4}}{4} + c_{1}

y = 3 \frac{3 x ^{4}}{4} + c_{1}

\int (4 e^{x} - x^{3} + 6 x - 8) d x

\int \frac{x ^{5}}{x ^{6} + 4} d x

n = 0 \sum \infty \frac{1}{4 n + 1}

\int \frac{1}{e ^{x}} d x

y^{^{''}} + 4 y^{^{'}} + 2 y = 0

What is the solution for (dy)/(dx)=((x^3))/(y^2) ?
The solution for (dy)/(dx)=((x^3))/(y^2) is y=\sqrt[3]{(3x^4)/4+c_{1}}