Question

find the largest possible interval in which the solution of this differential equation exists. t y'' + (t/(4-t^2))y' - e^t y= ln t, y(1/4)=-40, y'(1/4)=1

Answer 1

is it 1/4<t<2 or -2<t<1/4?

Answer 2

It is (2,infty)

Answer 3

that differential equation looks beastly

Answer 4

how come it is (2,infinity) ?