SOLUTION: Let f(x) be a function such that f(x)+xf(2012/x)=5x for x>0. Find the value of f(4).

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Question 562491: Let f(x) be a function such that f(x)+xf(2012/x)=5x for x>0. Find the value of f(4).
Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
Input 4 and 503 into the function:
f(4)+4f(503)=20
f(503)+503f(4)=2515
So,
f(4)=20-4f(503)=20-4(2515-503f(4))=-10040+2012f(4)
So, 2011f(4)=10040
So, f(4)=10040/2011