Can we cancel two differential terms while they are in a ratio. For example if we have (dx/dt) / (dy/dt), can we just directly cancel dt by dt and write it as dx/dy. I mean is is this step allowed?
2026-02-22 23:13:43.1771802023
Cancelling differential terms
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Yes The reason for that is quite simple because in differential calculus the Letter "d" denotes a certain amount of change in a quantity So "dx/dy" means "change in x with respect to change in y". By that logic, "dt" in both terms represent change in quantity "t". Being the same "term" they can be cancelled to create a ratio which gives the proportion of change in one quantity with respect to the another.