y^{''}-pi^2y=0

Lösung

y^{^{''}} - π^{2} y = 0

y = c_{1} e^{π t} + c_{2} e^{- π t}

Schritte zur Lösung

y^{''} (t) - π^{2} y = 0

Solve linear ODE:

y = c_{1} e^{π t} + c_{2} e^{- π t}

y = c_{1} e^{π t} + c_{2} e^{- π t}

y^{^{'''}} - 19 y^{^{''}} + 110 y^{^{'}} - 200 y = 0

4 y^{^{''}} + 16 y = 0

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

y^{^{'''}} + 6 y^{^{''}} + 13 y^{^{'}} = 0

y^{^{''}} + 3 y^{^{'}} + a y = 0, y (0) = 1, y^{^{'}} (0) = - 8