2y^{''}-7y^'-4y=7-2x

Lösung

2 y^{^{''}} - 7 y^{^{'}} - 4 y = 7 - 2 x

y = c_{1} e^{4 x} + c_{2} e^{- \frac{x}{2}} + \frac{x}{2} - \frac{21}{8}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- \frac{x}{2}} + \frac{x}{2} - \frac{21}{8}

y = c_{1} e^{4 x} + c_{2} e^{- \frac{x}{2}} + \frac{x}{2} - \frac{21}{8}

y^{^{''}} + 3 y^{^{'}} = sin (3 x)

y^{^{''}} + 16 y = 5 sin (x)

y^{^{''}} - y = 1, y (0) = 0, y^{^{'}} (0) = 1

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

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