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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

1/4 x^{''}+10x^'+1000x=0

\frac{1}{4} x^{^{''}} + 10 x^{^{'}} + 1000 x = 0

4y^{'''}-7y^{''}-34y^'-8y=0

4 y^{^{'''}} - 7 y^{^{''}} - 34 y^{^{'}} - 8 y = 0

y^{''}-6y^'+13y=0,y(0)=1,y^'(0)=5

y^{^{''}} - 6 y^{^{'}} + 13 y = 0, y (0) = 1, y^{^{'}} (0) = 5

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

l in e a r 4 y^{^{''}} - y = 0, y (0) = 0, y^{^{'}} (0) = 1

(4D^5-15D^3-5D^2+15D+9)y=0

(4 D^{5} - 15 D^{3} - 5 D^{2} + 15 D + 9) y = 0