1. The problem statement, all variables and given/known data Differentiate y = u * e^t + v * t * e^t 2. Relevant equations Product Rule. 3. The attempt at a solution y = u' * e^t + u * e^t + ( v' * t * e^t + v * e^t + v * t * e^t) u and v are functions of t. I forgot whether the product rule works like this: d/dt [xyz] = x'yz + xy'z + xyz' when x, y, z are all functions of t. Is this correct?