If the characteristic equation has roots r=1,2r = 1, 2r=1,2, the general solution is:
y=C1ex+C2e2xy = C_1 e^x + C_2 e^{2x}y=C1ex+C2e2x
y=C1cosx+C2sin2xy = C_1 \cos x + C_2 \sin 2xy=C1cosx+C2sin2x
y=(C1+C2x)exy = (C_1 + C_2 x) e^xy=(C1+C2x)ex
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