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

Lösung

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

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

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 2 y = 3

Solve linear ODE:

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

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

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

x^{^{''}} - 14 x^{^{'}} + 49 x = 5 t e^{7 t}

y^{^{''}} + 16 y = cos (4 x)

y^{^{''}} - 5 y^{^{'}} - 36 y = x - 8

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