y^{''}-11y=e^x

Lösung

y^{^{''}} - 11 y = e^{x}

y = c_{1} e^{11 x} + c_{2} e^{- 11 x} - \frac{1}{10} e^{x}

Schritte zur Lösung

y^{''} (x) - 11 y = e^{x}

Solve linear ODE:

y = c_{1} e^{11 x} + c_{2} e^{- 11 x} - \frac{1}{10} e^{x}

y = c_{1} e^{11 x} + c_{2} e^{- 11 x} - \frac{1}{10} e^{x}

y^{^{''}} + 256 y = 16 cos (3 t)

y^{^{''}} - y^{^{'}} = 1 - 2 x

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

y^{^{''}} - y^{^{'}} = 3 x + 2

y^{^{''}} - 3 y^{^{'}} + 2 y = x + 1