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Beliebt Rechnen >

y^{''}-4y=e^{-2x}-2x

Lösung

y^{^{''}} - 4 y = e^{- 2 x} - 2 x

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{e ^{- 2 x} x}{4} + \frac{x}{2}

Schritte zur Lösung

y^{''} (x) - 4 y = e^{- 2 x} - 2 x

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{e ^{- 2 x} x}{4} + \frac{x}{2}

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{e ^{- 2 x} x}{4} + \frac{x}{2}

Graph

Beliebte Beispiele

integral of cos(10x)cos(3x)

\int cos (10 x) cos (3 x) d x

tangent f(x)=x+2/x ,\at x=3

t an g e n t f (x) = x + \frac{2}{x}, at x = 3

derivative 1500e^x

d er i v a t i v e 1500 e^{x}

y^'+y/t =2cos(3t)

y^{^{'}} + \frac{y}{t} = 2 cos (3 t)

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

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