Deriving wave equation with single string and small amplitude wave.

1.This equation in the link below refers to the small angle approximation regarding deriving the wave equation from newtons laws from small amplitude waves in a single string with fixed tension.

2.http://ift.tt/1hdfU3T

3. I’m a bit rusty on the maths and have no idea how these first order derivatives suddenly equal a second order derivative. could someone explain please? The notes I’m using are http://ift.tt/1kHf6mU

http://ift.tt/1hdfU3X

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