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Beliebt Rechnen >

x(dy)/(dx)=y+sqrt(x^2+y^2),x>0

Lösung

x \frac{d y}{d x} = y + x^{2} + y^{2}, x > 0

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

integral of (-2)

\int (- 2) d x

integral from 0 to 2 of (4-x)^2

\int_{0}^{2} (4 - x)^{2} d x

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(dy)/(dx)=((x-3))/((y-3))

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integral of (x+4)(x-2)

\int (x + 4) (x - 2) d x