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Beliebt Rechnen >

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

Lösung

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

Lösung

y = x - ln (x) + c_{1}, y = - x - ln (x) + c_{1}

Schritte zur Lösung

x^{2} - 2 y^{2} + 2 x y y^{'} (x) = 0

Solve Bernoulli ODE:

y = x - ln (x) + c_{1}, y = - x - ln (x) + c_{1}

y = x - ln (x) + c_{1}, y = - x - ln (x) + c_{1}

Graph

Beliebte Beispiele

derivative of 1/(sqrt(4-x))

\frac{d}{d x} (\frac{1}{4 - x})

integral of 1/(3x-7)

\int \frac{1}{3 x - 7} d x

laplacetransform e^{(3t)}

l a pl a ce t r an s f or m e^{(3 t)}

(dy)/(dx)=(2x+sec^2(x))/(2y),y(0)=-3

\frac{d y}{d x} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 3

derivative of-3+8x

\frac{d}{d x} (- 3 + 8 x)