How to show one zero of y1 lies between consecutive zeros of y2

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dismo
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Supose y1 and y2 are a fundamental set of solutions to a second order ODE on the interval
-infinity<t<infinity.
How can I show that there is one and only one zero of y1 between consecutive zeros of y2.

I really don't even know how to egin approaching this problem. Any direction would be greatly appreciated.
 
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only one zero of y1 between consecutive zeros of y2? what do you mean by this statement?
 
I believe that I mean if y1(x)=0 and y1(z)=0 then y2(a) must be equal to zero with x<a<z.

In other words, y1 and y2 must alternate zeros as t varies.