Recent content by CassieG

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    Second order homogeneous ODE with vanishing solution

    Ah, thanks, that helps a lot.
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    Legendre differential equation and reduction of order

    That makes a lot of sense. Just working through it now, but I think it was realising I *had* reduced the order and had a first order ODE and then solving with the integrating factor was the point I was missing. Thanks very much.
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    Second order homogeneous ODE with vanishing solution

    Homework Statement Solving the linked set of ODEs: y" + y = 1-t^2/π^2 for 0 ≤ t ≤ π y" + y = 0 for t > π We are given the initial condition that y(0) = y'(0) = 0, and it is also noted that y and y' must be continuous at t = π Homework Equations See above. The Attempt at a...
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    Legendre differential equation and reduction of order

    Homework Statement Question is to find a general solution, using reduction of order to: (1-x^2)y" - 2xy' +2y = 0 (Legendre's differential equation for n=1) Information is given that the Legendre polynomials for the relevant n are solutions, and for n=1 this means 'x' is a solution...