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Beliebt Rechnen >

(dy)/(dx)=x-1

Lösung

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

Lösung

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

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = x - 1

Wenn

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

dann

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

y = \int x - 1 d x

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

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

Graph

Beliebte Beispiele

f(x)=(6x^2+10)/(4x^3)

f (x) = \frac{6 x ^{2} + 10}{4 x ^{3}}

(e^{t})^{^{'}}

integral from 1 to 2 of (x+1)^2

\int_{1}^{2} (x + 1)^{2} d x

laplacetransform e^{5(t-2)}(t^3+2t)^2

l a pl a ce t r an s f or m e^{5 (t - 2)} (t^{3} + 2 t)^{2}

derivative g(x)=ln((5x-2)^4)

d er i v a t i v e g (x) = ln ((5 x - 2)^{4})