Answer: Linear non-homogeneous DEs with arbitrary forcing using superposition.
- A Non-linear DEs by linearizing the forcing term beforehand
- B Linear non-homogeneous DEs with arbitrary forcing using superposition
- C Homogeneous DEs mainly, where the forcing term is already zero
- D The Laplace equation specifically, rarely extended to other DE types
Correct answer: B. Linear non-homogeneous DEs with arbitrary forcing using superposition
Explanation: Green function: constructs solution to linear DE with arbitrary forcing. G(x,s) is response to unit impulse at s; full solution = integral of G × f.
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