1. The problem statement, all variables and given/known data Consider the initial value problem t*y' + 2y = e^(2t) ; y(1) = 0: Determine the largest interval on which it is guaranteed to have a unique solution. 2. Relevant equations 3. The attempt at a solution I just need somebody to tell me if i have a logic on this one :-S I understand that t cannon equal zero. But also, the interval, that there is a unique solution, would be from 0 to positive infinity, because the initial condition sets y' to be positive.. If the interval would be going from negative infinity to 0, then y' would be negative, which violates the initial condition... Am i right?