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Beliebt Rechnen >

4y^{'''}+5y^{''}-23y^'-6y=0

Lösung

4 y^{^{'''}} + 5 y^{^{''}} - 23 y^{^{'}} - 6 y = 0

Lösung

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

Schritte zur Lösung

4 y^{'''} (t) + 5 y^{''} (t) - 23 y^{'} (t) - 6 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

x^{''}+6x^'+9x=0,x(0)=a,x^'(0)=b

x^{^{''}} + 6 x^{^{'}} + 9 x = 0, x (0) = a, x^{^{'}} (0) = b

y^{''}+14y^'+49y=0,y(0)=-1,y^'(0)=1

y^{^{''}} + 14 y^{^{'}} + 49 y = 0, y (0) = - 1, y^{^{'}} (0) = 1

y^{''''}-3y^{'''}-4y^{''}=0

y^{^{''''}} - 3 y^{^{'''}} - 4 y^{^{''}} = 0

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

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