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

解

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

y = \frac{- 18 + 324 - 12 ( - c _{1} - 2 x ^{3} )}{6}, y = \frac{- 18 - 324 - 12 ( - c _{1} - 2 x ^{3} )}{6}

解答ステップ

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

分離可能 ODE を解く:

y = \frac{- 18 + 324 - 12 ( - c _{1} - 2 x ^{3} )}{6}, y = \frac{- 18 - 324 - 12 ( - c _{1} - 2 x ^{3} )}{6}

y = \frac{- 18 + 324 - 12 ( - c _{1} - 2 x ^{3} )}{6}, y = \frac{- 18 - 324 - 12 ( - c _{1} - 2 x ^{3} )}{6}