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Beliebt Rechnen >

(y)dx-(x+sqrt(y^2-x^2))dy=0

Lösung

(y) d x - (x + y^{2} - x^{2}) d y = 0

Lösung

y = c_{1}

Schritte zur Lösung

(y) d x - (x + y^{2} - x^{2}) d y = 0

Lass

y

die abhängige Variable sein. Teile durch

d x

:

\frac{d y}{d x} - (x + y^{2} - x^{2}) \frac{d y}{d x} = 0

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) - (x + y^{2} - x^{2}) y^{^{'}} (x) = 0

Isoliere

y^{'} (x) : y^{'} (x) = 0

Wenn

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

dann

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

y = \int 0 d x

\int 0 d x = c_{1}

y = c_{1}

Graph

Beliebte Beispiele

(ln (cos (x)))^{^{'}}

limit as x approaches 0 of (4tan(x))/x

x \to 0 lim (\frac{4 tan ( x )}{x})

derivative of 1/(e^{-x^2})

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

integral of x(1+1/x)^3

\int x (1 + \frac{1}{x})^{3} d x

limit as x approaches+1 of ln(3)+e^x

x \to + 1 lim (ln (3) + e^{x})