Recent content by angelas

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    Laplace transform for solving ODE with variable coefficients

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    Laplace transform for solving ODE with variable coefficients

    Can we use laplace transform to solve an ODE with variable coefficients? Like this one: 4x y" + 2 y' + y = exp (-x)
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    Laplace transform of exp (-t^2)

    Hi everyone, I need to solve this ODE using the laplace transform: y" + y - exp (-t^2) = 0 , y(0) = y'(0) = 0 My question is on how to find the laplace transform of exp (-t^2). I used different properties of laplace transform to solve it but I was not succesfull. I was thinking that I...
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    What are the eigenvalues and eigenfunctions for this Sturm-Liouville problem?

    Thanks for your reply. No I haven't. I don't know how to do that.
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    What are the eigenvalues and eigenfunctions for this Sturm-Liouville problem?

    Hi everyone, I would really appreciate if any of you can help me solve this problem: [Sinx y']' + [Cosx+ lambda Sinx] y = 0 ; 1<x<2; y(1) = y(2) = 0 this is a regular sturm-liouville problem. I need to find the eigenvalues and eigenfunctions of this problem.
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    Solve Series Equation: xy+(sinx)y'+2xy=3x^2, y(0)=y'(0)=1

    I know that 0 is an ordinary point and therefore I can write the solution in form of series. But I don't know what to do with sin x.
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    Solve Series Equation: xy+(sinx)y'+2xy=3x^2, y(0)=y'(0)=1

    Hi everyone, Can anyone help me find the solution of this equation using series? xy"+(sinx)y'+2xy=3x^2 y(0)=y'(0)=1 Thanks in advance
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