1. The problem statement, all variables and given/known data If y satisfies the differential equation: ty'(t) + tln(t)y(t) = 0 and y(1) = 3 then y(1/2) = ? I have attached an image of the question with the possible solutions: 2. Relevant equations 3. The attempt at a solution Initially I tried plugging in t=1 and y(1) = 3 giving me: y'(1)+3ln(1) = 0 Hence y'(1) = 0 I did the same for t=1/2 1/2[y'(1/2) + ln(1/2)y(1/2)] = 0 But this doesn't seem to help me. Any suggestions would be appreciated.