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Beliebt Rechnen >

(D^2+8D+16)y=0

Lösung

(D^{2} + 8 D + 16) y = 0

Lösung

y = c_{1} e^{- 4 x} + c_{2} x e^{- 4 x}

Schritte zur Lösung

(D^{2} + 8 D + 16) y = 0

Solve linear ODE:

y = c_{1} e^{- 4 x} + c_{2} x e^{- 4 x}

y = c_{1} e^{- 4 x} + c_{2} x e^{- 4 x}

Graph

Beliebte Beispiele

y^{^{''}} - \frac{1}{9} y = 0

y^{'''}+y^{''}-6y^'=0y

y^{^{'''}} + y^{^{''}} - 6 y^{^{'}} = 0 y

77y^{''''}+156y^{''}+64y=0

77 y^{^{''''}} + 156 y^{^{''}} + 64 y = 0

y^{''}+4y^'+5y=0,y(pi/2)=0,y^'(pi/2)=2

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 2

y^{''}+4y^'+5y=0,y(pi/2)=0,y^'(pi/2)=9

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 9