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

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

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

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

y = \frac{c _{1}}{1 - x ^{3}}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{1 - x ^{3}}

y = \frac{c _{1}}{1 - x ^{3}}

\frac{\partial}{\partial x} (8 y)

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

\int 3 x^{2} + 5 d x

\frac{d v}{d t} = \frac{49 - 10 v}{5}

\frac{d y}{d x} = y (y - 1)

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