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General solution or particular solution?

Exercise and reference answers

Items
  1. Item
    Has as many arbitrary constants as the order
    Category
    General solution
  2. Item
    Describes a whole family of curves
    Category
    General solution
  3. Item
    Contains arbitrary constants
    Category
    General solution
  4. Item
    Free from arbitrary constants
    Category
    Particular solution
  5. Item
    Picks out one member of the family
    Category
    Particular solution
Categories
  1. Item
    General solution
  2. Item
    Particular solution

Explanation

The count of arbitrary constants is what separates them: as many as the order for a general solution, none at all for a particular one. Source: syllabus Maths Part II, Ch 9 Differential Equations.
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