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Question: problem 1 in many situations one encounters coupled differential equations...

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Problem (1) In many situations, one encounters coupled differential equations; often times complex analysis can be quite useful. A famous example is the system d B dtAlt) Here A(t) and B(t) are unknown functions of t al quantities are real. Now consider the complex valued function (of the single real variable t) Q(t) A(t) iB(t) Note that by adding ix[left equation] to the right equation, you get a straightforward complex equation for (t). Using this method, solve this above system subject to the initial condition A(t-

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