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Beliebt Rechnen >

(D^2+2D+1)y=0

Lösung

(D^{2} + 2 D + 1) y = 0

Lösung

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

Schritte zur Lösung

(D^{2} + 2 D + 1) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=0,y(1)=e^{4x}

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (1) = e^{4 x}

y^{''}-4y^'+68y=0

y^{^{''}} - 4 y^{^{'}} + 68 y = 0

y^{''}-7y^'+10y=0,y(0)=4,y^'(0)=17

y^{^{''}} - 7 y^{^{'}} + 10 y = 0, y (0) = 4, y^{^{'}} (0) = 17

y^{^{''}} - y^{^{'}} = y

y^{''}-10y^'+25y=0,y^'(0)=8

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y^{^{'}} (0) = 8