121y^{'''}+176y^{''}+64y^'=0

Lösung

121 y^{^{'''}} + 176 y^{^{''}} + 64 y^{^{'}} = 0

y = c_{1} + c_{2} e^{- \frac{8 t}{11}} + c_{3} e^{- \frac{8 t}{11}} t

Schritte zur Lösung

121 y^{'''} (t) + 176 y^{''} (t) + 64 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{8 t}{11}} + c_{3} e^{- \frac{8 t}{11}} t

y = c_{1} + c_{2} e^{- \frac{8 t}{11}} + c_{3} e^{- \frac{8 t}{11}} t

\frac{d ^{2} y}{d x ^{2}} + 8 \cdot \frac{d y}{d x} + 5 \cdot y = 0

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = 9, y^{^{'}} (0) = 2

100 y^{^{''}} + 90 y^{^{'}} - 162 y = 0

y^{^{''}} - 4 y^{^{'}} - 13 y = 0