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

Lösung

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

y = - \frac{- 6 + 36 + 12 ( - c _{1} - 3 x - x ^{3} )}{6}, y = - \frac{- 6 - 36 + 12 ( - c _{1} - 3 x - x ^{3} )}{6}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{- 6 + 36 + 12 ( - c _{1} - 3 x - x ^{3} )}{6}, y = - \frac{- 6 - 36 + 12 ( - c _{1} - 3 x - x ^{3} )}{6}

y = - \frac{- 6 + 36 + 12 ( - c _{1} - 3 x - x ^{3} )}{6}, y = - \frac{- 6 - 36 + 12 ( - c _{1} - 3 x - x ^{3} )}{6}

\frac{d P}{d t} = - 3 P

y^{^{'}} = x y + 8 x + 5 y + 40

y^{^{'}} = 2 x^{3} \cdot y^{2}

- y^{^{'}} - 9 y = 0

\frac{d y}{d x} = x^{2} (y - 2), y (0) = 9