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)]
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Solution Summary
This solution illustrates how equations are combined in this solution, using a step by step methodology to solve the problem.
Solution Preview
It is simple:
F+G=2*C1, so C1 = (F+G)/2.
F-G=2*C2, so C2 = ...
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