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Beliebt Rechnen >

(dy)/(dx)=(xy+7x-y-7)/(xy-2x+8y-16)

Lösung

\frac{d y}{d x} = \frac{x y + 7 x - y - 7}{x y - 2 x + 8 y - 16}

Lösung

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

Schritte zur Lösung

\frac{d y}{d x} = \frac{x y + 7 x - y - 7}{x y - 2 x + 8 y - 16}

Solve separable ODE:

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

Beliebte Beispiele

derivative of 1/(e^{-2x})

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

y^{''}-10y^'+25y=t^{-5}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 5} e^{5 t}

derivative of sin(sin(2x))

\frac{d}{d x} (sin (sin (2 x)))

integral of (3x^5-5x+6)

\int (3 x^{5} - 5 x + 6) d x

inverselaplace (s+1)/(s^2(s^2+1))

in v erse l a pl a ce \frac{s + 1}{s ^{2} ( s ^{2} + 1 )}