(d^2-2d)y=e^xsin(x)

Lösung

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

y = c_{1} e^{2 x} + c_{2} - \frac{1}{2} e^{x} sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} - \frac{1}{2} e^{x} sin (x)

y = c_{1} e^{2 x} + c_{2} - \frac{1}{2} e^{x} sin (x)

\frac{1}{2} y^{^{''}} + 2 y = 3 tan (2 t) - \frac{1}{3} e^{4 t}

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{2 x} (cos (x) + sin (x))

y^{^{''}} - 3 y^{^{'}} + 3 y^{^{'}} - y = x - 8 e^{x}

y^{^{''}} + 100 y^{^{'}} + \frac{1}{0.0004} y = 30, y (0) = 0

y^{^{''''}} - 5 y^{^{'''}} + 4 y^{^{''}} = x