y^{''}-1/9 y=0

Lösung

y^{^{''}} - \frac{1}{9} y = 0

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

Schritte zur Lösung

y^{''} (t) - \frac{1}{9} y = 0

Solve linear ODE:

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

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

y^{^{'''}} + y^{^{''}} - 6 y^{^{'}} = 0 y

77 y^{^{''''}} + 156 y^{^{''}} + 64 y = 0

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 2

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 9

y^{^{''}} - 4 y^{^{'}} - 21 y = 0, y (0) = a, y^{^{'}} (0) = 24