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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} = \frac{x y + 3 x - y - 3}{x y - 2 x + 4 y - 8}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{x y + 3 x - y - 3}{x y - 2 x + 4 y - 8}

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

(3 ln (x))^{^{'}}

derivative of sin(1/(x^2-5))

\frac{d}{d x} (sin (\frac{1}{x ^{2} - 5}))

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\frac{d}{d x} (ln (\frac{1}{cos ( x )}))

limit as x approaches a of 0/0

x \to a lim (\frac{0}{0})

(\partial)/(\partial x)(xe^{sqrt(6xy)})

\frac{\partial}{\partial x} (x e^{6 x y})