14y^{''}+3y^'-2y=0

Lösung

14 y^{^{''}} + 3 y^{^{'}} - 2 y = 0

y = c_{1} e^{\frac{2 t}{7}} + c_{2} e^{- \frac{t}{2}}

Schritte zur Lösung

14 y^{''} (t) + 3 y^{'} (t) - 2 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{2 t}{7}} + c_{2} e^{- \frac{t}{2}}

y = c_{1} e^{\frac{2 t}{7}} + c_{2} e^{- \frac{t}{2}}

y^{^{''}} + 0.6 y^{^{'}} + 8 y = 0

64 y^{^{''}} + 96 y^{^{'}} + 36 y = 0, y (0) = 1, y^{^{'}} (0) = 8

y^{^{''}} + \frac{32}{13} y^{^{'}} + 32 y = 0

0.2 y^{^{''}} + 14 y^{^{'}} + \frac{1}{0.004} y = 0, y (0) = 0

2 \frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 3 y = 0