y^{'''}-18y^{''}+89y^'-132y=0

Lösung

y^{^{'''}} - 18 y^{^{''}} + 89 y^{^{'}} - 132 y = 0

y = c_{1} e^{3 t} + c_{2} e^{4 t} + c_{3} e^{11 t}

Schritte zur Lösung

y^{'''} (t) - 18 y^{''} (t) + 89 y^{'} (t) - 132 y = 0

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{4 t} + c_{3} e^{11 t}

y = c_{1} e^{3 t} + c_{2} e^{4 t} + c_{3} e^{11 t}

y^{^{''}} + 0.75 y^{^{'}} + 0.3 y = 0, y^{^{'}} (0) = 0

y^{^{''}} + 10 y^{^{'}} + 23 y = 0

l in e a r y^{^{''}} - 6 y^{^{'}} + 5 y = 0

y^{^{''}} + 2 y = 0, y (0) = 2, y^{^{'}} (0) = 22

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 15 y = 0