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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve using substitution:

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

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

Graph

Beliebte Beispiele

\frac{4 d u}{d t} = u^{2}

derivative of e^{2x}+ln(2x)

\frac{d}{d x} (e^{2 x} + ln (2 x))

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y^{^{''}} - 4 y^{^{'}} + 8 y = 0

f(x)=arcsin(x/4)

f (x) = arcsin (\frac{x}{4})

integral of x^{-1/6}

\int x^{- \frac{1}{6}} d x