The number of arbitrary constants in general solution of the differential equation (d³y/dx³) + 2(d²y/dx²)+(dy/dx) = cot(x) will be-

3

The number of arbitrary constants in solution of a differential equation are always equal to the order of differential equation.

since the given differential equation (d³y/dx³) + 2(d²y/dx²)+(dy/dx) = cot(x) is of order 3 so it solution will have 3 arbitrary constants.