Answer: Applying initial/boundary conditions to determine the constant.
- A Differentiating the general solution with respect to x
- B Applying initial/boundary conditions to determine the constant
- C Multiplying the general solution by an integrating factor
- D Determining the order of the highest derivative present
Correct answer: B. Applying initial/boundary conditions to determine the constant
Explanation: Particular solution: substitute given initial conditions into general solution to find the specific constant value.
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