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assume that y1, y2 are solutions of the equation y''+py+qy=0 where p and q are functions of t.

a) define the wronskian W of y1,y2
b) show that the Wronskian satisfies a first order linear differential equation. That is, derive the equation.
c) use the equation in b) to show that either W is identically zero or it is never zero.

 

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