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Beliebt Rechnen >

x^2+y^2+2xyy^'=0

Lösung

x^{2} + y^{2} + 2 x y y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

x^{2} + y^{2} + 2 x y y^{'} (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+1)e^{-2x}

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

derivative f(x)=(x^2-2x-3)/x

d er i v a t i v e f (x) = \frac{x ^{2} - 2 x - 3}{x}

(\partial)/(\partial x)(3x^2-12y)

\frac{\partial}{\partial x} (3 x^{2} - 12 y)

derivative 4/(x-4)+(27)/(2x+2)

d er i v a t i v e \frac{4}{x - 4} + \frac{27}{2 x + 2}

x^{^{'}} - x = 0