y^{''}-4y=4e^x

Lösung

y^{^{''}} - 4 y = 4 e^{x}

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{4}{3} e^{x}

Schritte zur Lösung

y^{''} (x) - 4 y = 4 e^{x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{4}{3} e^{x}

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{4}{3} e^{x}

y^{^{''}} + 4 y = g (x), y (0) = 1, y^{^{'}} (0) = 3

y^{^{''}} + 4 y^{^{'}} - 5 y = 10 x^{2} + 9 e^{x}

(d - 1)^{2} (d - 3)^{3} y = e^{3} x

y^{^{''}} + y^{^{'}} - 6 y = 50 x e^{x}

y^{^{''}} - 9 y = 1