Algebraic manipulation-combining equations

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For the equation: x = e^-pt (C_1e^qt + C_2e^-qt), where C1 and C2 are arbitrary constants, if I let F = C1 + C2 and G = C1 - C2, how do I obtain:

x = e^-pt[F/2 (e^qt + e^-qt) + G/2(e^qt - e^-wt)]

Reference no: EM13120765

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