x^{''}+(1.0889)/(19.6)x=cos(2t)

Lösung

x^{^{''}} + \frac{1.0889}{19.6} x = cos (2 t)

x = c_{1} cos (\frac{5.55561 E 15}{1.0 E 17} t) + c_{2} sin (\frac{5.55561 E 15}{1.0 E 17} t) - 0.25352 \dots cos (2 t)

Schritte zur Lösung

x^{''} (t) + \frac{1.0889}{19.6} x = cos (2 t)

Solve linear ODE:

x = c_{1} cos (\frac{5.55561 E 15}{1.0 E 17} t) + c_{2} sin (\frac{5.55561 E 15}{1.0 E 17} t) - 0.25352 \dots cos (2 t)

x = c_{1} cos (\frac{5.55561 E 15}{1.0 E 17} t) + c_{2} sin (\frac{5.55561 E 15}{1.0 E 17} t) - 0.25352 \dots cos (2 t)

0.001 y^{^{''}} + 10 y = 10 cos (100 x)

y^{^{''}} + 2 y^{^{'}} + y = (1 + x) e^{- x}

(D^{2} - 2 D + 1) y = x sin (x)

y^{^{''}} + 4 y = sin (5 t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 2 y^{^{'}} + 2 y = x^{2} + sin (x)