y^{''}+y^'-6y=36t

Lösung

y^{^{''}} + y^{^{'}} - 6 y = 36 t

y = c_{1} e^{2 t} + c_{2} e^{- 3 t} - 6 t - 1

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 6 y = 36 t

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 3 t} - 6 t - 1

y = c_{1} e^{2 t} + c_{2} e^{- 3 t} - 6 t - 1

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

y^{^{''}} - y = sec (x)

y^{^{''}} - 10 y^{^{'}} + 25 y = 10 e^{5 x}

2 x^{^{''}} + 4 x = 6 t

y^{^{''}} + 3 y^{^{'}} + 2 y = 18 + e x