(4x-1)dx-(6y-7)dy=0

Lösung

(4 x - 1) d x - (6 y - 7) d y = 0

y = - \frac{- 7 + 49 + 12 ( - c _{1} - x + 2 x ^{2} )}{6}, y = - \frac{- 7 - 49 + 12 ( - c _{1} - x + 2 x ^{2} )}{6}

Schritte zur Lösung

(4 x - 1) d x - (6 y - 7) d y = 0

Solve separable ODE:

y = - \frac{- 7 + 49 + 12 ( - c _{1} - x + 2 x ^{2} )}{6}, y = - \frac{- 7 - 49 + 12 ( - c _{1} - x + 2 x ^{2} )}{6}

y = - \frac{- 7 + 49 + 12 ( - c _{1} - x + 2 x ^{2} )}{6}, y = - \frac{- 7 - 49 + 12 ( - c _{1} - x + 2 x ^{2} )}{6}

(2 y^{2} + x y^{3}) d x + (2 x y + x^{2} y^{2}) d y = 0

y^{^{'}} - 2 x y = 3 y

y^{^{'}} - 3 x^{2} y = 0

15 x^{2} y + 3 x^{3} y^{^{'}} - 24 y = 0

\frac{d y}{d x} = x e^{y}, y (0) = 1