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Beliebt Rechnen >

(D^2+2D+1)y=xe^{-x}

Lösung

(D^{2} + 2 D + 1) y = x e^{- x}

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x} x ^{3}}{6}

Schritte zur Lösung

(D^{2} + 2 D + 1) y = x e^{- x}

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x} x ^{3}}{6}

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x} x ^{3}}{6}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-y=1

\frac{d ^{2} y}{d x ^{2}} - y = 1

y^{''}+y^'+1.25y=3cos(x)

y^{^{''}} + y^{^{'}} + 1.25 y = 3 cos (x)

y^{''}=9+(y^')2

y^{^{''}} = 9 + (y^{^{'}}) 2

y^{''}+6y^'-27y=-105t+54t^2

y^{^{''}} + 6 y^{^{'}} - 27 y = - 105 t + 54 t^{2}

y^{''}-6y^'+5y=x,y^1(0)=e^x

y^{^{''}} - 6 y^{^{'}} + 5 y = x, y^{1} (0) = e^{x}