(d^2x)/(dt^2)=-49x

Lösung

\frac{d ^{2} x}{d t ^{2}} = - 49 x

x = c_{1} cos (7 t) + c_{2} sin (7 t)

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} = - 49 x

Solve linear ODE:

x = c_{1} cos (7 t) + c_{2} sin (7 t)

x = c_{1} cos (7 t) + c_{2} sin (7 t)

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 1, y (1) = 3

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

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

y^{^{''}} + α y = 0

y^{^{''}} - 13 y^{^{'}} + 36 y = 0