1. The problem statement, all variables and given/known data Which fot he following is a solution to the differential equation: t2y" - 2ty' + 2y = 0 a)e-2tt3 b)et c)t d) t4 I have attached an image of the question 2. Relevant equations 3. The attempt at a solution I tried answer d first: y = t4 y' = 4t3 y" = 12t2 Plugging in these derivatives: t2(12t2) - 2t(4t3) + 2(t4) = 0 I also checked with y = t and this solution works as well. So how do I distinguish between which one is the correct answer?