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Beliebt Rechnen >

(dy)/(dx)+2=x

Lösung

\frac{d y}{d x} + 2 = x

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} + 2 = x

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) + 2 = x

Isoliere

y^{'} (x) : y^{'} (x) = x - 2

Wenn

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

dann

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

y = \int x - 2 d x

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

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

Graph

Beliebte Beispiele

limit as x approaches 0 of+sin(x)ln(x)

x \to 0 lim (+ sin (x) ln (x))

limit as x approaches 0 of x^2cos(1/2)

x \to 0 lim (x^{2} cos (\frac{1}{2}))

derivative of 4cos(x-e^{2x})

\frac{d}{d x} (4 cos (x) - e^{2 x})

derivative sin^2(x)

d er i v a t i v e sin^{2} (x)

integral of xe^{x^2+2}

\int x e^{x^{2} + 2} d x