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

Lösung

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

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

Schritte zur Lösung

2 y^{'''} (t) + y^{''} (t) = 0

Solve linear ODE:

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

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

y^{^{''}} + 2 y^{^{'}} + a y = 0

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

y^{^{''''}} + 49 y^{^{''}} = 0

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 25 y = 0

64 y^{^{''}} + 48 y^{^{'}} + 9 y = 0