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Beliebt Rechnen >

2xydy+(x^2+y^2)dx=0

Lösung

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

Lösung

y = - \frac{x ^{2}}{3} + \frac{c _{1}}{x}, y = - - \frac{x ^{2}}{3} + \frac{c _{1}}{x}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = - \frac{x ^{2}}{3} + \frac{c _{1}}{x}, y = - - \frac{x ^{2}}{3} + \frac{c _{1}}{x}

y = - \frac{x ^{2}}{3} + \frac{c _{1}}{x}, y = - - \frac{x ^{2}}{3} + \frac{c _{1}}{x}

Graph

Beliebte Beispiele

integral of ((x(x-2))/((x-1)^3))

\int (\frac{x ( x - 2 )}{( x - 1 ) ^{3}}) d x

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\int (- 3 x + 4) e^{- x} d x

(dy)/(dx)=((2y+1))/((x+1))

\frac{d y}{d x} = \frac{( 2 y + 1 )}{( x + 1 )}