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Beliebt Rechnen >

2y^{''''}-4y^{''}+2y=0

Lösung

2 y^{^{''''}} - 4 y^{^{''}} + 2 y = 0

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t}

Schritte zur Lösung

2 y^{(4)} (t) - 4 y^{''} (t) + 2 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t}

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+44y=0

\frac{d ^{2} y}{d x ^{2}} + 44 y = 0

8y^{''}+4y^'+y=0,y(0)=0,y^'(0)=1

8 y^{^{''}} + 4 y^{^{'}} + y = 0, y (0) = 0, y^{^{'}} (0) = 1

(0.1)x^{''}+(0.4)x^'+2x=0

(0.1) x^{^{''}} + (0.4) x^{^{'}} + 2 x = 0

10x^{''}+40x^'+1/50 x=0

10 x^{^{''}} + 40 x^{^{'}} + \frac{1}{50} x = 0

y^{''}+2y^'+26y=0,y(0)=3,y^'(0)=-1

y^{^{''}} + 2 y^{^{'}} + 26 y = 0, y (0) = 3, y^{^{'}} (0) = - 1