Science:Math Exam Resources/Courses/MATH152/April 2022/Question B5 (b)/Solution 1

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We are given in the question statement, so what remains is to write in terms of , , and .

First use Kirchoff’s current law on the upper middle junction: . Rearranging gives .

Now, to determine , we use Kirchoff’s voltage law on the left loop: . Rearranging this and substituting it back into the equation for gives .

Thus, the second differential equation is