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Beliebt Rechnen >

yy^'=-2x(1+y^2),y(0)=1

Lösung

y y^{^{'}} = - 2 x (1 + y^{2}), y (0) = 1

Lösung

y = 2 e^{- 2 x^{2}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = 2 e^{- 2 x^{2}} - 1

y = 2 e^{- 2 x^{2}} - 1

Graph

Beliebte Beispiele

integral of 1.8^{0.045*x}-1

\int 1. 8^{0.045 \cdot x} - 1 d x

integral of 1/(a-bx)

\int \frac{1}{a - b x} d x

y^'sin(5pix)=piycos(5pix)

y^{^{'}} sin (5 π x) = π y cos (5 π x)

derivative of 2000

\frac{d}{d x} (2000)

inverselaplace (s-2)/((s-3)(s-1))

in v erse l a pl a ce \frac{s - 2}{( s - 3 ) ( s - 1 )}