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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{0.15689 \dots t} + c_{2} e^{0.83537 \dots t} + c_{3} e^{- 0.72414 \dots t} + c_{4} e^{- 5.26812 \dots t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{0.15689 \dots t} + c_{2} e^{0.83537 \dots t} + c_{3} e^{- 0.72414 \dots t} + c_{4} e^{- 5.26812 \dots t}

y = c_{1} e^{0.15689 \dots t} + c_{2} e^{0.83537 \dots t} + c_{3} e^{- 0.72414 \dots t} + c_{4} e^{- 5.26812 \dots t}

Graph

Beliebte Beispiele

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

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

y^{''}-5y^'+4y=0,y(0)= 4/3 ,y^'(0)= 1/3

y^{^{''}} - 5 y^{^{'}} + 4 y = 0, y (0) = \frac{4}{3}, y^{^{'}} (0) = \frac{1}{3}

y^{^{''}} = - 64 y

y^{''}-30y^'+325y=0

y^{^{''}} - 30 y^{^{'}} + 325 y = 0