Answer: e integral of P dx.
- A e<sup>integral of Q dx</sup>
- B e<sup>integral of P dx</sup>
- C P × Q
- D 1/P
Correct answer: B. e<sup>integral of P dx</sup>
Explanation: Linear first-order DE: integrating factor = e<sup>integral P dx</sup>. Multiply both sides to make LHS exact.
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