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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x}}{6 x ^{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x}}{6 x ^{2}}

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x}}{6 x ^{2}}

Graph

Beliebte Beispiele

integral of 4x-7

\int 4 x - 7 d x

volumeabout y=0,y=x^2,y^2=x

v o l u m e ab o u t y = 0, y = x^{2}, y^{2} = x

integral of (e^x)/(\sqrt[5]{e^x+1)}

\int \frac{e ^{x}}{5 e ^{x} + 1} d x

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

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

f^'(x)=6x,f(0)=8

f^{^{'}} (x) = 6 x, f (0) = 8