y^{''}-y=7t

Lösung

y^{^{''}} - y = 7 t

y = c_{1} e^{t} + c_{2} e^{- t} - 7 t

Schritte zur Lösung

y^{''} (t) - y = 7 t

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - 7 t

y = c_{1} e^{t} + c_{2} e^{- t} - 7 t

y^{^{''}} - 4 y = cos (3 x)

y^{^{''}} + 3 y^{^{'}} + 21 y = 9 cos (4 t)

4 y^{^{''}} + 7 y^{^{'}} - y = 15

y^{^{''}} + 7 y^{^{'}} + 12 y = 5 e^{- 6 x}

y^{^{''}} - 4 y^{^{'}} - 45 y = (7 + 2 x)