Question

The number of arbitrary constants in a particular solution of the differential equation tan x dx + tan y dy = 0 is __________________.

Answer 1

The number of arbitrary constants in the general solution is equal to the order of the differential equation.

While the number of arbitrary constants in the particular solution is zero.

Hence, the number of arbitrary constants in a particular solution of the differential equation tanx dx + tany dy = 0 is 0.