y^{''}+25y=50sin(5t)

Lösung

y^{^{''}} + 25 y = 50 sin (5 t)

y = c_{1} cos (5 t) + c_{2} sin (5 t) - 5 t cos (5 t)

Schritte zur Lösung

y^{''} (t) + 25 y = 50 sin (5 t)

Solve linear ODE:

y = c_{1} cos (5 t) + c_{2} sin (5 t) - 5 t cos (5 t)

y = c_{1} cos (5 t) + c_{2} sin (5 t) - 5 t cos (5 t)

y^{^{''}} + 2 y^{^{'}} + 5 y = cos (2 x) - 4 sin (2 x)

y^{^{''}} + 2 y^{^{'}} + y = t^{5} e^{- 5 t}

y^{^{''}} + 16 y = 9 (t) - 9 (t - 98 π), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} - 4 y^{^{'}} + 3 y = 8 e^{- x} + 9

y^{^{''}} + 18 y^{^{'}} + 82 y = 2 e^{- 9 x} cos (x)