Use the method of reduction of order to find a second solution
y2 of the given differential equation such that {y1, y2} is a
fundamental set of solutions on the given interval.
t2y′′ +2ty′ −2y=0, t > 0, y1(t)=t
(a) Verify that the two solutions that you have obtained are
linearly independent.
(b) Let y(1) = y0, y′(1) = v0. Solve the initial value problem.
What is the longest interval on which the initial value problem is
certain to have...