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Beliebt Rechnen >

(dy)/(dx)=(xy+2x-y-2)/(xy-5x+6y-30)

Lösung

\frac{d y}{d x} = \frac{x y + 2 x - y - 2}{x y - 5 x + 6 y - 30}

Lösung

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1}}{7}}}) - 2

Schritte zur Lösung

\frac{d y}{d x} = \frac{x y + 2 x - y - 2}{x y - 5 x + 6 y - 30}

Solve separable ODE:

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1}}{7}}}) - 2

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1}}{7}}}) - 2

Beliebte Beispiele

integral of 1/(\sqrt[4]{1+x)}

\int \frac{1}{4 1 + x} d x

d/(da)(blog_{10}(y/x+(0.6x)/(sqrt(a))))

\frac{d}{d a} (b lo g_{10} (\frac{y}{x} + \frac{0.6 x}{a}))

fläche y=x^{4/3},y=2x^{1/3}

a re a y = x^{\frac{4}{3}}, y = 2 x^{\frac{1}{3}}

integral of x/6

\int \frac{x}{6} d x

integral of 1/(x^2-8x+20)

\int \frac{1}{x ^{2} - 8 x + 20} d x