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Beliebt Rechnen >

y^{''}-4y^'+5y=e^{-x}

Lösung

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{- x}

Lösung

y = e^{2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{10} e^{- x}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 5 y = e^{- x}

Solve linear ODE:

y = e^{2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{10} e^{- x}

y = e^{2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{10} e^{- x}

Graph

Beliebte Beispiele

limit as (x,y) approaches (0,1) of (e^{xy})/(x+1)

(x, y) \to (0, 1) lim (\frac{e ^{x y}}{x + 1})

integral of cos(y^3)

\int cos (y^{3}) d y

tangent f(x)=(x^3),\at x=2

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

limit as x approaches 2 of (2-x)/(|x-2|)

x \to 2 lim (\frac{2 - x}{∣ x - 2 ∣})

integral of (cos^3(x))

\int (cos^{3} (x)) d x