Recent content by gerald87

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    Euler equations with Y(1) = 0, Y(2) = 0

    thankyou so much for the help guys. I think I have got it under control now. And sorry about the double posts.
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    Euler equations with Y(1) = 0, Y(2) = 0

    Thanks for the help. What would happen if A and B in the initial equation were not real numbers? Would it still be considered an euler equation? or would it have to be solved in a different way? Thanks again.
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    Euler equations with Y(1) = 0, Y(2) = 0

    Hi, I have a question relating to the Euler equation, X^2Y'' + AXY' +BY = 0. I understand that there are three possible solutions for Y; Y=c1x^m1 + c2x^m2 for distinct roots Y=[c1 + c2ln(x)]x^m for repeated roots or Y=[c1cos(bln(x))+c2sin(bln(x))]x^a for complex conjugate roots I...
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    Euler equations with Y(1) = 0, Y(2) = 0

    Hi Eli, Sorry, I should have been more clear in my question. I am not talking about a specific Euler equation, but the general Euler equation, X^2Y'' + AXY' +BY = 0. I understand that there are three possible solutions for Y; Y=c1x^m1 + c2x^m2 for distinct roots Y=[c1 +...
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    Euler equations with Y(1) = 0, Y(2) = 0

    Is it possible for an Euler equation to satisfy the boundary conditions Y(1)=0, Y(2)=0? I have considered the three possibilities, distinct real roots, repeated roots and conjugate complex roots and cannot find any solutions. Are there any other possibilities to consider? Thanks