Answer: e 2x.
- A e<sup>x</sup>
- B e<sup>2x</sup>
- C e<sup>−2x</sup>
- D 2x
Correct answer: B. e<sup>2x</sup>
Explanation: IF = e<sup>∫2 dx</sup> = e<sup>2x</sup>.
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