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Beliebt Rechnen >

y^{''''}+y^{'''}-5y^{''}-3y^'+1/2 y=0

Lösung

y^{^{''''}} + y^{^{'''}} - 5 y^{^{''}} - 3 y^{^{'}} + \frac{1}{2} y = 0

Lösung

y = c_{1} e^{0.13655 \dots t} + c_{2} e^{- 0.71136 \dots t} + c_{3} e^{2.06610 \dots t} + c_{4} e^{- 2.49129 \dots t}

Schritte zur Lösung

y^{(4)} (t) + y^{'''} (t) - 5 y^{''} (t) - 3 y^{'} (t) + \frac{1}{2} y = 0

Solve linear ODE:

y = c_{1} e^{0.13655 \dots t} + c_{2} e^{- 0.71136 \dots t} + c_{3} e^{2.06610 \dots t} + c_{4} e^{- 2.49129 \dots t}

y = c_{1} e^{0.13655 \dots t} + c_{2} e^{- 0.71136 \dots t} + c_{3} e^{2.06610 \dots t} + c_{4} e^{- 2.49129 \dots t}

Graph

Beliebte Beispiele

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

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

(2D^5-7D^4+12D^3+8D^2)y=0

(2 D^{5} - 7 D^{4} + 12 D^{3} + 8 D^{2}) y = 0

y^{''}+22y^'+2y=0

y^{^{''}} + 22 y^{^{'}} + 2 y = 0

y^{''}+4y^'+29y=0,y(0)=2,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 2, y^{^{'}} (0) = 0

y^{''}+2y^'-3y=0,y(0)=2,y^'(0)=10

y^{^{''}} + 2 y^{^{'}} - 3 y = 0, y (0) = 2, y^{^{'}} (0) = 10