Answer: Power of highest-order derivative (when rationalized).
- A The order of the highest derivative appearing in the equation
- B Power of highest-order derivative (when rationalized)
- C The total number of independent solutions the equation admits
- D The total number of additive terms in the equation
Correct answer: B. Power of highest-order derivative (when rationalized)
Explanation: Degree = power of the highest-order derivative after clearing radicals and fractions.
The general solution y=Ax² represents an entire FAMILY of curves, one for each value of the arbitrary constant A; a particular solution (fixed by an initial condition) selects exactly one curve from this family.
Concept context
Equations involving derivatives and their solutions