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TWJamesSS 16 Sep, 2023 @ 1:31pm 
6. Let the differential operator L be defined by
Ly ≡ (2x + 1)2 d
2y
dx
2
− 8(2x + 1)dy
dx
+ 24y.
(a) [8 marks] Find the general solution of the homogeneous differential equation
Ly(x) = 0.
[Hint. Show that y1(x) = (2x + 1)2
solves Ly = 0, and then seek a solution of the
form y(x) = u(x)y1(x).]
(b) [9 marks] Determine the Green’s function for the boundary value problem
Ly(x) = f(x),
y(0) = α, y(1) = β.
(c) [8 marks] Use the Green’s function obtained in (b) to write down the solution for
general data {f(x), α, β}, where f(x) is a given function, and α and β are given
real constants.
Matt :\ 15 Sep, 2023 @ 2:49pm 
My Dearest Alistair,

Your strength and grace, both inside and out, captivate my heart. Your dedication and kindness inspire me daily. I cherish every moment with you, and you've become the love of my life. My feelings are deep and sincere, and I can't imagine a future without you. You are my rock, my confidant, and my forever love.

Yours always,
MattyPatty (:
KJT 7 Sep, 2023 @ 2:08pm 
I was chilling at home when i looked out the window to see some racist little Fiona from Shrek lookalike asking if i would touch his 'hot voluptuous and juicy ass' which when i declined he proceeded to play a tiktok thirst trap song and flexed at me through my window. 3/10 Tempting but too much of a pedo for me. :steamthumbsdown:
Orqen 4 Sep, 2023 @ 11:39am 
pretty sure this guy had something to do with 9/11 i'd stay very clear from him