Answer: order 2, degree 3.
- A order 2, degree 2
- B order 2, degree 3
- C order 3, degree 2
- D order 2, degree 1
Correct answer: B. order 2, degree 3
Explanation: The highest derivative is second order, raised to the power 3, so order 2 and degree 3.
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