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    Use Leibniz's formula to establish that:



    is a solution of the differential equation:





    I have no idea how to go about this, besides the following:



    I then differentiated this once to get dZn/dx, and then again for d^2, and substituted the results into the equation - however I got nothing out of doing so. Any help please?
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    Thanks, sorry but I still can't quite find my way around this. The section for Leibniz all seem to want differentiating the entire DE n times, but I then end up with differentiating Zn, which is a differential in itself...
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    (Original post by angrybirdzzz)
    Thanks, sorry but I still can't quite find my way around this. The section for Leibniz all seem to want differentiating the entire DE n times, but I then end up with differentiating Zn, which is a differential in itself...
    What Leibniz is really good for is finding the both derivative of a product if 2 functions. Your issue here is that exp(-x^2/2) isn't a product of 2 functions, o Leibniz doesn't apply directly. It's derivative, however....
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    (Original post by DFranklin)
    What Leibniz is really good for is finding the both derivative of a product if 2 functions. Your issue here is that exp(-x^2/2) isn't a product of 2 functions, o Leibniz doesn't apply directly. It's derivative, however....
    Cheers, I actually just figured the derivative was a good starting point as well!
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    (Original post by angrybirdzzz)
    Use Leibniz's formula to establish that:



    is a solution of the differential equation:





    I have no idea how to go about this, besides the following:



    I then differentiated this once to get dZn/dx, and then again for d^2, and substituted the results into the equation - however I got nothing out of doing so. Any help please?
    Helped a natsci do this.


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