y^{'''}-9y^{''}+23y^'-15y=0

Lösung

y^{^{'''}} - 9 y^{^{''}} + 23 y^{^{'}} - 15 y = 0

y = c_{1} e^{t} + c_{2} e^{3 t} + c_{3} e^{5 t}

Schritte zur Lösung

y^{'''} (t) - 9 y^{''} (t) + 23 y^{'} (t) - 15 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{3 t} + c_{3} e^{5 t}

y = c_{1} e^{t} + c_{2} e^{3 t} + c_{3} e^{5 t}

y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = 1, y^{^{'}} (0) = 4

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

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

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 13 y = 0

2 y^{^{''}} - 5 y^{^{'}} = 0