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Beliebt Rechnen >

(dy)/(dx)=(-x)/(e^y)

Lösung

\frac{d y}{d x} = \frac{- x}{e ^{y}}

Lösung

y = ln (- \frac{x ^{2}}{2} + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = \frac{- x}{e ^{y}}

Solve separable ODE:

y = ln (- \frac{x ^{2}}{2} + c_{1})

y = ln (- \frac{x ^{2}}{2} + c_{1})

Graph

Beliebte Beispiele

(dx)/(dt)=14-0.7x

\frac{d x}{d t} = 14 - 0.7 x

(dy}{dx}=\frac{3sin(x))/y

\frac{d y}{d x} = \frac{3 sin ( x )}{y}

(dy)/(dx)+16xy=0

\frac{d y}{d x} + 16 x y = 0

2x(dy)/(dx)+(1-x)(dy)/(dx)-2y=0

2 x \frac{d y}{d x} + (1 - x) \frac{d y}{d x} - 2 y = 0

(dy)/(dx)=sqrt((1-y^2)/(1-x^2))

\frac{d y}{d x} = \frac{1 - y ^{2}}{1 - x ^{2}}