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Beliebt Rechnen >

(dy)/(dx)= x/(42+x^2)

Lösung

\frac{d y}{d x} = \frac{x}{42 + x ^{2}}

Lösung

y = \frac{1}{2} ln (42 + x^{2}) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x}{42 + x ^{2}}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{x}{42 + x ^{2}}

Wenn

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

dann

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

y = \int \frac{x}{42 + x ^{2}} d x

\int \frac{x}{42 + x ^{2}} d x = \frac{1}{2} ln (42 + x^{2}) + c_{1}

y = \frac{1}{2} ln (42 + x^{2}) + c_{1}

Graph

Beliebte Beispiele

integral from 1 to 1000 of 1/(x^2)

integral of (y+1)x^2

derivative sin(pit)

fläche y=8sqrt(x),y=8x^3

derivative of sin(y+xy-x^3)