y^{''}-0.1y=0

Lösung

y^{^{''}} - 0.1 y = 0

y = c_{1} e^{\frac{t}{10}} + c_{2} e^{- \frac{t}{10}}

Schritte zur Lösung

y^{''} (t) - 0.1 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{10}} + c_{2} e^{- \frac{t}{10}}

y = c_{1} e^{\frac{t}{10}} + c_{2} e^{- \frac{t}{10}}

y^{^{''}} + y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 1

y^{^{''}} + y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{^{'''}} + 9 y^{^{'}} = 0, y^{^{'}} (0) = - 21

16 y^{^{''}} + 8 y^{^{'}} + 145 y = 0

2 \frac{d ^{2} y}{d x ^{2}} + 20 \frac{d y}{d x} + 51 y = 0