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Beliebt Rechnen >

2xy^'-2xy=-e^{-2x}y^3

Lösung

2 x y^{^{'}} - 2 x y = - e^{- 2 x} y^{3}

Lösung

y = \frac{e ^{2 x}}{ln ( x ) + c _{1}}, y = - \frac{e ^{2 x}}{ln ( x ) + c _{1}}

Schritte zur Lösung

2 x y^{'} (x) - 2 x y = - e^{- 2 x} y^{3}

Solve Bernoulli ODE:

y = \frac{e ^{2 x}}{ln ( x ) + c _{1}}, y = - \frac{e ^{2 x}}{ln ( x ) + c _{1}}

y = \frac{e ^{2 x}}{ln ( x ) + c _{1}}, y = - \frac{e ^{2 x}}{ln ( x ) + c _{1}}

Graph

Beliebte Beispiele

derivative (x+2)(x-5)(x-1)

d er i v a t i v e (x + 2) (x - 5) (x - 1)

limit as x approaches 0 of 3(h+2x)2

x \to 0 lim (3 (h + 2 x) 2)

integral of 5/(x+2)

\int \frac{5}{x + 2} d x

derivative of 4x^2(3x-1^3)

\frac{d}{d x} (4 x^{2} (3 x - 1)^{3})

tangent y=7x^2-x^3,(1,6)

t an g e n t y = 7 x^{2} - x^{3}, (1, 6)