Another1
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y'' = uv'' +2u'v'+ u''vCountry Boy said:What have you tried? If y= uv then what is y'? What is y''? What do you get when you put those into the differential equation? And then use the fact that u itself satisfies the equation, that u''+ V(x)u= 0.
Okay, and since u satisfies u''+ Vu= 0, that isAnother said:y'' = uv'' +2u'v'+ u''v
so
y''+ Vy = uv'' +2u'v'+ u''v + Vuv = 0