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Beliebt Rechnen >

(dy)/(dx)=(xy+5x-y-5)/(xy-2x+6y-12)

Lösung

\frac{d y}{d x} = \frac{x y + 5 x - y - 5}{x y - 2 x + 6 y - 12}

Lösung

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

Schritte zur Lösung

\frac{d y}{d x} = \frac{x y + 5 x - y - 5}{x y - 2 x + 6 y - 12}

Solve separable ODE:

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

Beliebte Beispiele

derivative of (x^2+5x+1{f}(x)(sin(3x)))

\frac{d}{d x} ((x^{2} + 5 x + 1) f (x) (sin (3 x)))

integral of x^2*sqrt(x-2)

\int x^{2} \cdot x - 2 d x

integral of (7cos^5(x))/(sqrt(sin(x)))

\int \frac{7 cos ^{5} ( x )}{sin ( x )} d x

integral of 5xln(6x)

\int 5 x ln (6 x) d x

derivative y=x^3+4

d er i v a t i v e y = x^{3} + 4