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

解

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

y = - \frac{- 1 + 1 + 4 ( - c _{1} - x ^{3} )}{2}, y = - \frac{- 1 - 1 + 4 ( - c _{1} - x ^{3} )}{2}

解答ステップ

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

分離可能 ODE を解く:

y = - \frac{- 1 + 1 + 4 ( - c _{1} - x ^{3} )}{2}, y = - \frac{- 1 - 1 + 4 ( - c _{1} - x ^{3} )}{2}

y = - \frac{- 1 + 1 + 4 ( - c _{1} - x ^{3} )}{2}, y = - \frac{- 1 - 1 + 4 ( - c _{1} - x ^{3} )}{2}