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Beliebt Rechnen >

(dy)/(dx)=-x/(ye^{x^2)},y(0)=1

Lösung

\frac{d y}{d x} = - \frac{x}{y e ^{x^{2}}}, y (0) = 1

Lösung

y = e^{- \frac{x ^{2}}{2}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{x ^{2}}{2}}

y = e^{- \frac{x ^{2}}{2}}

Graph

Beliebte Beispiele

y^'=(1+y)/(1+x)

y^{^{'}} = \frac{1 + y}{1 + x}

y y^{^{'}} = x - 2

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

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

(dP)/(dt)=8sqrt(Pt)

\frac{d P}{d t} = 8 Pt

(dx)/(dt)=60-x/(100),x=5000,t=0

\frac{d x}{d t} = 60 - \frac{x}{100}, x = 5000, t = 0