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Beliebt Rechnen >

(dx)/(dy)+800y=400

Lösung

\frac{d x}{d y} + 800 y = 400

Lösung

x = 400 y - 400 y^{2} + c_{1}

Schritte zur Lösung

\frac{d x}{d y} + 800 y = 400

Ersetze

\frac{d x}{d y}

mit

x^{'} (y)

x^{^{'}} (y) + 800 y = 400

Isoliere

x^{'} (y) : x^{'} (y) = 400 - 800 y

Wenn

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

dann

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

x = \int 400 - 800 y d y

\int 400 - 800 y d y = 400 y - 400 y^{2} + c_{1}

x = 400 y - 400 y^{2} + c_{1}

Graph

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