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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{1}{16} e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{1}{16} e^{2 x}

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{1}{16} e^{2 x}

Graph

Beliebte Beispiele

integral of 1/(x+1)

\int \frac{1}{x + 1} d x

maclaurin xe^{x^2}

ma c l a u r in x e^{x^{2}}

integral from 1 to sqrt(x of)sec(t)

\int_{1}^{x} sec (t) d t

derivative of (10/(27x^{8/3)})

\frac{d}{d x} (\frac{10}{27 x ^{\frac{8}{3}}})

tangent f(x)=(1+4x)^9,(0,1)

t an g e n t f (x) = (1 + 4 x)^{9}, (0, 1)