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Beliebt Rechnen >

(dy)/(dx)=(xy-4x+y-4)/(xy-6x-3y+18)

Lösung

\frac{d y}{d x} = \frac{x y - 4 x + y - 4}{x y - 6 x - 3 y + 18}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{x y - 4 x + y - 4}{x y - 6 x - 3 y + 18}

Solve separable ODE:

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

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

Beliebte Beispiele

(dy)/(dx)=x^2(y-2),y(0)=4

\frac{d y}{d x} = x^{2} (y - 2), y (0) = 4

y^'=e^{-y},y(0)=0

y^{^{'}} = e^{- y}, y (0) = 0

(dy)/(dx)= 2/3 xsqrt(1-9y^2),y(0)=0

\frac{d y}{d x} = \frac{2}{3} x 1 - 9 y^{2}, y (0) = 0

(dv)/(dt)=sqrt(2/9)v

\frac{d v}{d t} = \frac{2}{9} v

derivative of sqrt(x)+sqrt(y)=1

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