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Beliebt Rechnen >

xdx=-(ey)/(ey+6)dy

Lösung

x d x = - \frac{ey}{ey + 6} d y

Lösung

y = - \frac{6 W ( - \frac{1}{6 e ^{\frac{- e x ^{2} + c _{1}}{12}}} )}{e} - \frac{6}{e}

Schritte zur Lösung

x d x = - \frac{ey}{ey + 6} d y

Solve separable ODE:

y = - \frac{6 W ( - \frac{1}{6 e ^{\frac{- e x ^{2} + c _{1}}{12}}} )}{e} - \frac{6}{e}

y = - \frac{6 W ( - \frac{1}{6 e ^{\frac{- e x ^{2} + c _{1}}{12}}} )}{e} - \frac{6}{e}

Beliebte Beispiele

y^'+(x-10)y^'+y=0

y^{^{'}} + (x - 10) y^{^{'}} + y = 0

(d^2x)/(dx^2)+a*(dy)/(dx)=b*y^{-2}

\frac{d ^{2} x}{d x ^{2}} + a \cdot \frac{d y}{d x} = b \cdot y^{- 2}

(dp)/(dy)*p=-1/(2y^3)

\frac{d p}{d y} \cdot p = - \frac{1}{2 y ^{3}}

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

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

(dy)/(dx)=2(cos(x))y

\frac{d y}{d x} = 2 (cos (x)) y