y^{''}=-64y

Lösung

y^{^{''}} = - 64 y

y = c_{1} cos (8 t) + c_{2} sin (8 t)

Schritte zur Lösung

y^{''} (t) = - 64 y

Solve linear ODE:

y = c_{1} cos (8 t) + c_{2} sin (8 t)

y = c_{1} cos (8 t) + c_{2} sin (8 t)

y^{^{''}} - 30 y^{^{'}} + 325 y = 0

- y^{^{''}} + a y^{^{'}} + b y = 0

y^{^{''}} - 5 y^{^{'}} + 10 y = 0

y^{^{''}} + 36 y = 0, y^{^{'}} (0) = 2

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