Answer: The right-hand side is zero.
- A All coefficients are constant
- B The right-hand side is zero
- C It has constant coefficients and zero RHS
- D Degree is 1
Correct answer: B. The right-hand side is zero
Explanation: Homogeneous DE: the forcing function (RHS) is zero. f(x,y,y',y'') = 0 form with no external forcing.
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