D^2(D-1)y=8e^{(2x)}

Lösung

D^{2} (D - 1) y = 8 e^{(2 x)}

y = c_{1} e^{x} + c_{2} + c_{3} x + 2 e^{2 x}

Schritte zur Lösung

D^{2} (D - 1) y = 8 e^{2 x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} + c_{3} x + 2 e^{2 x}

y = c_{1} e^{x} + c_{2} + c_{3} x + 2 e^{2 x}

y^{^{''}} - 4 y^{^{'}} + 4 y = 6 e^{2 t}

y^{^{''}} + 16 y = 13 sec^{2} (4 t)

y^{^{''}} + 7 y^{^{'}} - y = 16

9 y^{^{''}} - 4 y = sin (t)

y^{^{''}} + y = 8 cos (x)