44y^{'''}+15y^{''}+y^'=0

Lösung

44 y^{^{'''}} + 15 y^{^{''}} + y^{^{'}} = 0

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

Schritte zur Lösung

44 y^{'''} (t) + 15 y^{''} (t) + y^{'} (t) = 0

Solve linear ODE:

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

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

16 x^{^{''}} + 8 x^{^{'}} + 145 x = 0, x (0) = - 2, x^{^{'}} (0) = 1

y^{^{''}} + 14 y^{^{'}} + 50 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (0) = 5, y^{^{'}} (0) = 0

\frac{d ^{2} y}{d x ^{2}} - 13 \frac{d y}{d x} + 12 y = 0

\frac{3}{4} x^{^{''}} + 72 x = 0, x (0) = \frac{1}{3}, x^{^{'}} (0) = 0