(14) is an irrational equation with respect to [phi] .
Thus, the second derivative with respect to the angle of position of the rotor appears in an irrational equation. The explicit form of the differential equation of motion is sought, for which it is necessary to solve the irrational equation, and to choose from the solutions the one that describes the actual motion of the rotor.
There are several subtypes of irrational equations in school mathematics.
All CAS provide correct solutions to simpler irrational equations with only one radical on the one side and a number on the other, like [square root of x] = 0, [square root of x] = 2, [square root of x + 1] = 2 and [square root of [x.sup.2] - 3x] = 2.
Mathematics II includes: Fractional and Irrational Equations
, Cubic and Quartic Inequalities, Trigonometric Functions, Limits and Continuity of Functions, Differentiation of Polynomials.