y^{''}+49y=cos(7t)

Lösung

y^{^{''}} + 49 y = cos (7 t)

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{t sin ( 7 t )}{14}

Schritte zur Lösung

y^{''} (t) + 49 y = cos (7 t)

Solve linear ODE:

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{t sin ( 7 t )}{14}

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{t sin ( 7 t )}{14}

y^{^{''}} - 9 y = 12 cos (3 x)

y^{^{''}} + 4 y = 60 x \cdot e^{2 x}

y^{^{''}} + 6 y^{^{'}} + \frac{1}{15} y = 450

y^{^{''}} - y = t - e^{- t}

y^{^{''}} + 4 y^{^{'}} + 5 y = tan (x)