What is the solution for (1+x^3)(dy)/(dx)=x^2y ?

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

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

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

Solution steps

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

Solve separable ODE:

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

\frac{d y}{d t} = 2 y t

8 N^{^{'}} + 10 t N^{5} = 0

4 x y \frac{d y}{d x} = 1, y > 0

\frac{d y}{d t} = y + 2, y (0) = 0

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