Homework Statement
Use the method of reduction of order to find a second solution of the given differential equation
t2y'' - 4ty' + 6y, t>0; y1(t) = t2
The Attempt at a Solution
Here's what I have so far:
y = vt2
y' = 2tv + t2v'
y'' = 2v + 4tv' + t2v''
so
t2 (2v + 4tv'...