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Beliebt Rechnen >

(dy)/(dx)=x-3

Lösung

\frac{d y}{d x} = x - 3

Lösung

y = \frac{x ^{2}}{2} - 3 x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = x - 3

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = x - 3

Wenn

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

dann

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

y = \int x - 3 d x

\int x - 3 d x = \frac{x ^{2}}{2} - 3 x + c_{1}

y = \frac{x ^{2}}{2} - 3 x + c_{1}

Graph

Beliebte Beispiele

integral of 7tan^3(x)sec^3(x)

\int 7 tan^{3} (x) sec^{3} (x) d x

integral of x(2x+1)^2

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

tangent f(x)=x^2+4,(4,20)

t an g e n t f (x) = x^{2} + 4, (4, 20)

limit as x approaches 2-of e^{1/(x-2)}

x \to 2 - lim (e^{\frac{1}{x - 2}})

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