I've been spending way too long trying to figure out how to get started on this problem, any help would be appreciated.
Let a and b be real numbers satisfying a > b and 4c + 1 > 0. Transform the equation
[(x-a)(x-b)u']' -cy
into a Legendre's equation. (I assume that equation is supposed to be suffixed with "= 0" but the above is how the problem was presented to me.)
For reference, a Legendre's equation is of the form (1-x^2)y'' - 2xy' + n(n+1)y = 0.
Let a and b be real numbers satisfying a > b and 4c + 1 > 0. Transform the equation
[(x-a)(x-b)u']' -cy
into a Legendre's equation. (I assume that equation is supposed to be suffixed with "= 0" but the above is how the problem was presented to me.)
For reference, a Legendre's equation is of the form (1-x^2)y'' - 2xy' + n(n+1)y = 0.