(3440.3669700000000…)y^{''}+(0)y^'+(22500)y=0

Lösung

(3440.3669700000000 \dots) y^{^{''}} + (0) y^{^{'}} + (22500) y = 0

y = c_{1} cos (\frac{4087500002943}{625000000000} t) + c_{2} sin (\frac{4087500002943}{625000000000} t)

Schritte zur Lösung

(3440.36697 \dots) y^{''} (t) + (0) y^{'} (t) + (22500) y = 0

Solve linear ODE:

y = c_{1} cos (\frac{4087500002943}{625000000000} t) + c_{2} sin (\frac{4087500002943}{625000000000} t)

y = c_{1} cos (\frac{4087500002943}{625000000000} t) + c_{2} sin (\frac{4087500002943}{625000000000} t)

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = - \frac{6}{5}, y^{^{'}} (0) = - 3

y^{^{''}} + 3 y^{^{'}} - 54 y = 0

5 y^{^{''}} + 3 y^{^{'}} + 6 y = 0, y (0) = - 4, y^{^{'}} (0) = 0

y^{^{''''}} + 4 y^{^{''}} + 2 y = 0

y^{^{''}} - 9 y = 0, y (0) = 36, y^{^{'}} (0) = - 36