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

Lösung

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

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - \frac{2}{3} cos (3 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - \frac{2}{3} cos (3 x)

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - \frac{2}{3} 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)

x^{^{''}} + x = t + t^{2}