1. The problem statement, all variables and given/known data A particle is dropped from rest, at the surface, into a tank containing oil The acceleration of the particle in the oil is a = g – kv where g is the gravitational acceleration and –kv being denoted by the resistance put on the particle by the oil. Solve for x as a function of time! 3. The attempt at a solution I'm attaching an image file containing my calculations. As can be seen I get a differential equation of the second order but as I proceed to solve this equation and try to determine the constants the whole thing turns into ZERO?!!?! What am I doing wrong??