Use reduction of order to determine 2 linearly independent solutions of the differential equation
(1 - x^2)y'' + 6xy' - 6y = 0 (-1< x < 1
I have done:
Assume y1 = x
Then y2 = y1 v(x)
using formula y2 = y1 int [(1/y1^2)^e -int [p dx]] dx
y2 = 1/5x^6 - x^4 + 3x^2 + 1
Can anyone please verify that I have done this correctly as I'm not too sure I've used the formula properly...
Thanks in advance!