y^{'''}-7y^{''}+y^'+12y=0

Lösung

y^{^{'''}} - 7 y^{^{''}} + y^{^{'}} + 12 y = 0

y = c_{1} e^{- 1.15339 \dots t} + c_{2} e^{1.58363 \dots t} + c_{3} e^{6.56976 \dots t}

Schritte zur Lösung

y^{'''} (t) - 7 y^{''} (t) + y^{'} (t) + 12 y = 0

Solve linear ODE:

y = c_{1} e^{- 1.15339 \dots t} + c_{2} e^{1.58363 \dots t} + c_{3} e^{6.56976 \dots t}

y = c_{1} e^{- 1.15339 \dots t} + c_{2} e^{1.58363 \dots t} + c_{3} e^{6.56976 \dots t}