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Beliebt Rechnen >

y^{'''}+6y^{''}-y^'-3y=0

Lösung

y^{^{'''}} + 6 y^{^{''}} - y^{^{'}} - 3 y = 0

Lösung

y = c_{1} e^{- 0.66182 \dots t} + c_{2} e^{0.74514 \dots t} + c_{3} e^{- 6.08331 \dots t}

Schritte zur Lösung

y^{'''} (t) + 6 y^{''} (t) - y^{'} (t) - 3 y = 0

Solve linear ODE:

y = c_{1} e^{- 0.66182 \dots t} + c_{2} e^{0.74514 \dots t} + c_{3} e^{- 6.08331 \dots t}

y = c_{1} e^{- 0.66182 \dots t} + c_{2} e^{0.74514 \dots t} + c_{3} e^{- 6.08331 \dots t}

Graph

Beliebte Beispiele

x^{''}+4x^'+5x=0,x(0)=1,x^'(0)=0

x^{^{''}} + 4 x^{^{'}} + 5 x = 0, x (0) = 1, x^{^{'}} (0) = 0

y^{''}-6y^'+25y=0,y(0)=1,y^'(0)=-11

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 1, y^{^{'}} (0) = - 11

y^{''''}+24y^{''}=0

y^{^{''''}} + 24 y^{^{''}} = 0

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

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

y^{''}+5y^'-3y=0

y^{^{''}} + 5 y^{^{'}} - 3 y = 0