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Beliebt Rechnen >

(xy-2x+4y-8)dy-(xy+3x-y-3)dx=0

Lösung

(x y - 2 x + 4 y - 8) d y - (x y + 3 x - y - 3) d x = 0

Lösung

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

Schritte zur Lösung

(x y - 2 x + 4 y - 8) d y - (x y + 3 x - y - 3) d x = 0

Solve separable ODE:

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

Beliebte Beispiele

yy^'+6x=0,y^2(0)=-6x^2+c,y(0)=4

y y^{^{'}} + 6 x = 0, y^{2} (0) = - 6 x^{2} + c, y (0) = 4

y^'=-3/7 e^{3y}

y^{^{'}} = - \frac{3}{7} e^{3 y}

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

(dy)/(dx)=6yln(2/y)

\frac{d y}{d x} = 6 y ln (\frac{2}{y})

-(dh)/(dt)=5sqrt(h)

- \frac{d h}{d t} = 5 h