y^{''}+2y^'-8y=-650sin(3t)

Lösung

y^{^{''}} + 2 y^{^{'}} - 8 y = - 650 sin (3 t)

y = c_{1} e^{2 t} + c_{2} e^{- 4 t} + 34 sin (3 t) + 12 cos (3 t)

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 8 y = - 650 sin (3 t)

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 4 t} + 34 sin (3 t) + 12 cos (3 t)

y = c_{1} e^{2 t} + c_{2} e^{- 4 t} + 34 sin (3 t) + 12 cos (3 t)

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

y^{^{''}} + 4 y = cos (x), y (π) = 0, y (0) = 0

x^{^{''}} + 9 x = 2 sin (t)

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

y^{^{''}} + 2 y^{^{'}} = 7