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Beliebt Rechnen >

(dy)/(dx)=(8xsqrt(4-y^2))/(sqrt(4-y^2))

Lösung

\frac{d y}{d x} = \frac{8 x 4 - y ^{2}}{4 - y ^{2}}

Lösung

y = 4 x^{2} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{8 x 4 - y ^{2}}{4 - y ^{2}}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{8 x 4 - y ^{2}}{4 - y ^{2}}

Vereinfache

y^{^{'}} (x) = 8 x

Wenn

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

dann

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

y = \int 8 x d x

\int 8 x d x = 4 x^{2} + c_{1}

y = 4 x^{2} + c_{1}

Graph

Beliebte Beispiele

integral of 1/((1+sin(x)))

\int \frac{1}{( 1 + sin ( x ) )} d x

fläche x^2-4,-2x-3,-1,0

a re a x^{2} - 4, - 2 x - 3, - 1, 0

integral of (3x-2)*e^{-x}

\int (3 x - 2) \cdot e^{- x} d x

limit as x approaches 5+of sqrt(5-x)

x \to 5 + lim (5 - x)

derivative of 1/((x+3))

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