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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

integral of (2x)/(x^2+x)

\int \frac{2 x}{x ^{2} + x} d x

inverselaplace s/(s+4)

in v erse l a pl a ce \frac{s}{s + 4}

(dy)/(dx)= 1/(x+y)

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

(\partial)/(\partial x)(5x^2y-5x+4y^3)

\frac{\partial}{\partial x} (5 x^{2} y - 5 x + 4 y^{3})

integral of x^2(e^x)

\int x^{2} (e^{x}) d x