x^{''}+80x=0

Lösung

x^{^{''}} + 80 x = 0

x = c_{1} cos (45 t) + c_{2} sin (45 t)

Schritte zur Lösung

x^{''} (t) + 80 x = 0

Solve linear ODE:

x = c_{1} cos (45 t) + c_{2} sin (45 t)

x = c_{1} cos (45 t) + c_{2} sin (45 t)

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = - 2, y (0) = - 14

2 y^{^{''}} + 18 y = 0, y (0) = 2, y^{^{'}} (0) = 15

\frac{5}{8} x^{^{''}} + 40 x = 0, x (0) = \frac{1}{3}, x^{^{'}} (0) = 0

y^{^{''}} + 2 α y^{^{'}} + α^{2} y = 0

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = - 1, y^{^{'}} (0) = 1