x^{''}+25x=2cos(5.1t)

Lösung

x^{^{''}} + 25 x = 2 cos (5.1 t)

x = c_{1} cos (5 t) + c_{2} sin (5 t) - 1.98019 \dots cos (5.1 t)

Schritte zur Lösung

x^{''} (t) + 25 x = 2 cos (5.1 t)

Solve linear ODE:

x = c_{1} cos (5 t) + c_{2} sin (5 t) - 1.98019 \dots cos (5.1 t)

x = c_{1} cos (5 t) + c_{2} sin (5 t) - 1.98019 \dots cos (5.1 t)

y^{^{'''}} + 9 y^{^{''}} + 27 y^{^{'}} + 27 y = 9 e^{- 3 x}

y^{^{''}} + y = sin (t), y (0) = 0, y^{^{'}} (0) = 2

y^{^{''}} + y^{^{'}} - 6 y = 10 e^{2 x} - 18 e^{3 x} - 6 x - 11

y^{^{''}} + y^{^{'}} + y = 1 + x

y^{^{'''}} - y^{^{'}} = 3 sin (t)