x^{''}+4k^2x=0

Lösung

x^{^{''}} + 4 k^{2} x = 0

x = c_{1} e^{2 - k^{2} t} + c_{2} e^{- 2 - k^{2} t}

Schritte zur Lösung

x^{''} (t) + 4 k^{2} x = 0

Solve linear ODE:

x = c_{1} e^{2 - k^{2} t} + c_{2} e^{- 2 - k^{2} t}

x = c_{1} e^{2 - k^{2} t} + c_{2} e^{- 2 - k^{2} t}

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

x^{^{''}} + 6 x^{^{'}} + 8 x = 0

4 y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 5

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 6

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