Merl is a Canadian exchange student in China, and he currently has 12,000 yuan in his bank account. If the exchange rate changes
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Substitute , so that
, and
which is separable as
Integrate both sides with respect to . For the integral on the left, first split into partial fractions:
Solve for :
Replace and solve for
:
Now use the given initial condition to solve for :
so that the particular solution is