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Beliebt Rechnen >

(dy)/(dx)=xe^{x^2-4}

Lösung

\frac{d y}{d x} = x e^{x^{2} - 4}

Lösung

y = \frac{1}{2} e^{x^{2} - 4} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = x e^{x^{2} - 4}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = x e^{x^{2} - 4}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int x e^{x^{2} - 4} d x

\int x e^{x^{2} - 4} d x = \frac{1}{2} e^{x^{2} - 4} + c_{1}

y = \frac{1}{2} e^{x^{2} - 4} + c_{1}

Graph

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