String Under Tension with a transvers force distribution

ts547
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Homework Statement



A string under tension T is stretched between O and L , and a transverse force
distribution

F(x) = Ax(L-x)

is applied (A a constant). Find the transverse displacement pattern.


Homework Equations



Possibly the wave equation
lots of integrals


The Attempt at a Solution



Not to sure at the moment, having a mental block. A hint would be much appreciated. Trying to link to the wave equation.
 
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Oh right, mental block over! I think Mr green has the solution! Thanks for the help :)
 

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