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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- t} + e^{\frac{t}{2}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

Schritte zur Lösung

- y^{'''} (t) - y = 0

Solve linear ODE:

y = c_{1} e^{- t} + e^{\frac{t}{2}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

y = c_{1} e^{- t} + e^{\frac{t}{2}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

Graph

Beliebte Beispiele

y^{''}-(1+2)y^'+21y=0

y^{^{''}} - (1 + 2) y^{^{'}} + 21 y = 0

2y^{''}+5y^'-3y=0,y(0)=-5,y^'(0)=22

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = - 5, y^{^{'}} (0) = 22

2y^{''}+5y^'-3y=0,y(0)=-5,y^'(0)=29

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = - 5, y^{^{'}} (0) = 29

(d^4-6d^3-12d^2+38d-21)y=0

(d^{4} - 6 d^{3} - 12 d^{2} + 38 d - 21) y = 0

20y^{''}+80y^'+60y=0

20 y^{^{''}} + 80 y^{^{'}} + 60 y = 0