Question

4xy′′ + 2(−2√x + 1)y′ + y = 0, with initial values y(0) = 1, y(1) = 2e.

(Hints: make change of variable: y = v, x = u2, convert it to an constant coefficient ODE. )
What is y?

Answer 1

so, did you do the substitution? What did you get?