Differentiate y = u * e^t + v * t * e^t
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?