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Beliebt Rechnen >

(dx)/(dy)+6e^{y+x}=0

Lösung

\frac{d x}{d y} + 6 e^{y + x} = 0

Lösung

x = - ln (6 e^{y} - c_{1})

Schritte zur Lösung

\frac{d x}{d y} + 6 e^{y + x} = 0

Solve separable ODE:

x = - ln (6 e^{y} - c_{1})

x = - ln (6 e^{y} - c_{1})

Graph

Beliebte Beispiele

2(1+x^4)y^'=4x^3y^{-1},y(0)=-1

2 (1 + x^{4}) y^{^{'}} = 4 x^{3} y^{- 1}, y (0) = - 1

(dy)/(dx)-k/2 y^2=0

\frac{d y}{d x} - \frac{k}{2} y^{2} = 0

(dx)/(dt)=5-(3x)/(1000+2x)

\frac{d x}{d t} = 5 - \frac{3 x}{1000 + 2 x}

2y^'sin(t)-e^tysin(t)=e^tysin(t)

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(dy)/(dt)= 40/2000-y/(200)

\frac{d y}{d t} = \frac{40}{2000} - \frac{y}{200}