Answer: Bernoulli DE.
- A Linear DE
- B Bernoulli DE
- C Exact DE
- D Homogeneous DE
Correct answer: B. Bernoulli DE
Explanation: Bernoulli equation: dy/dx + P(x)y = Q(x)yn. Solved by substituting z = y1-n.
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