If y=f(x) is the solution of the differential equation \( (1+\cos^2 x)f'(x) - 4\sin(2x) - f(x)\sin(2x) = 0 \) when f(0)=0, then \( f(\pi/3) = \)
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When solving a first-order differential equation, first try to determine if it is separable. A separable equation can be written in the form \(g(y)dy = h(x)dx\), allowing you to integrate both sides independently.