y^{''}+16y=16sin(4t)

Lösung

y^{^{''}} + 16 y = 16 sin (4 t)

y = c_{1} cos (4 t) + c_{2} sin (4 t) - 2 t cos (4 t)

Schritte zur Lösung

y^{''} (t) + 16 y = 16 sin (4 t)

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t) - 2 t cos (4 t)

y = c_{1} cos (4 t) + c_{2} sin (4 t) - 2 t cos (4 t)

y^{^{''}} - 7 y^{^{'}} + 6 y = x

y^{^{''}} - 2 y^{^{'}} + 3 = 0

y^{^{''}} + 3 y^{^{'}} + 2 y = x e^{- x}

y^{^{''}} + 4 y^{^{'}} + 3 y = x^{2} - 2

3 y^{^{''}} - 5 y^{^{'}} + 2 y = 6 x e^{- 2 x}