Cоncept check оn 1.2 mаteriаl. It is impоrtаnt to understand the difference between the following: . We saw the general solution to the first one is (we did this by inspection, and will learn a method next week to find this). However, the second equation, y'=4x, only involves x on the RHS. Therefore, this is way simpler to solve for. We can simply integrate 4x to find . We could not do something this simple in the first equation. We also use this idea when solving acceleration-velocity questions. a(t) = acceleration, v(t) = velocity, x(t) = position. For example, if we have a constant deceleration of 5, this mean a(t) = -5. This translates into either of the following differential equations: