1.Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?
2.Find the normalized differential equation which has {x, xex} as its fundamental set.
3.6Find the general solution of the differential equation Y" + 4y = Sec2 2x
4.7 {x2 + 1) Y''} + y = 0; y (o) = 0 = y (1)
5.8Find the series solution of 2x2 y" + xy" + (x2 - 3) Y= 0 a bout regular singular point ?