When trying to solve a higher order differential equation, how can I factor it to find the general solution. A question like :[tex]y^{(4)}-4y^{(3)}+6y^{(2)}-4y^{(1)}+y=0[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

So I can write this as:[tex]m^4-4m^3+6m^2-4y^1=0[/tex]. How can I factor m? The prof mentioned something about Pascal's Triangle, but I'm not sure what to do, I haven't even looked at Pascals Triangle in I dont even know how many years.

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# Factoring question

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