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Beliebt Rechnen >

4x^{''}+8x^'+4x=0

Lösung

4 x^{^{''}} + 8 x^{^{'}} + 4 x = 0

Lösung

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

Schritte zur Lösung

4 x^{''} (t) + 8 x^{'} (t) + 4 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^4y)/(dx^4)-16y=0

\frac{d ^{4} y}{d x ^{4}} - 16 y = 0

y^{''}-6y^'=0,y(0)=4-4e^6,y(1)=0

y^{^{''}} - 6 y^{^{'}} = 0, y (0) = 4 - 4 e^{6}, y (1) = 0

y^{'''}-y^{''}-12y^'=0

y^{^{'''}} - y^{^{''}} - 12 y^{^{'}} = 0

x^{^{''}} + 4 k^{2} x = 0

y^{''}+y^'+y=0,y(0)=0,y^'(0)=0

y^{^{''}} + y^{^{'}} + y = 0, y (0) = 0, y^{^{'}} (0) = 0