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Beliebt Rechnen >

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

Lösung

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

y^{^{'}} = e^{- y} + 1

x^3ydx+x^2y^2dy=0

x^{3} y d x + x^{2} y^{2} d y = 0

(dy)/(dx)=2xy^2+(5y^2)/(sqrt(x))

\frac{d y}{d x} = 2 x y^{2} + \frac{5 y ^{2}}{x}

(dy)/(dx)y=ln(ln(x^5))

\frac{d y}{d x} y = ln (ln (x^{5}))

y^'=-3x^2(y+2),y(1)=-1

y^{^{'}} = - 3 x^{2} (y + 2), y (1) = - 1