- #1
EvLer
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I have a 2nd order homogeneous non-const. coefficients linear DE, and don't remember how we used to solve it or even if we did at all, looked through the book, but it only covers a case of Cauchy-Euler.
The original question actually goes like this:
verify that y(x) = sin (x2) is in the kernel of L,
L = D2 - x-1D + 4x2, where D is a differetiation operator.
so what I have so far is this:
Ly = 0
when I distribute I get this DE and get stuck with it:
y'' - x-1y' + 4x2y = 0
Thanks for any help.
The original question actually goes like this:
verify that y(x) = sin (x2) is in the kernel of L,
L = D2 - x-1D + 4x2, where D is a differetiation operator.
so what I have so far is this:
Ly = 0
when I distribute I get this DE and get stuck with it:
y'' - x-1y' + 4x2y = 0
Thanks for any help.