If the characteristic equation has roots r=−1,−2r = -1, -2r=−1,−2, the general solution is:
y=C1e−x+C2e−2xy = C_1 e^{-x} + C_2 e^{-2x}y=C1e−x+C2e−2x
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
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