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Tap every statement true of a general solution

Exercise and reference answers

Questions
  1. Items
    1. Text
      Contains arbitrary constants
      Matches the category
      Yes
    2. Text
      Has as many constants as the order
      Matches the category
      Yes
    3. Text
      Represents a family of solutions
      Matches the category
      Yes
    4. Text
      Is free from arbitrary constants
      Matches the category
      No
    5. Text
      Is a single fixed curve
      Matches the category
      No
    Category
    True of a GENERAL solution
  2. Items
    1. Text
      Defined only for polynomial forms
      Matches the category
      Yes
    2. Text
      Is a positive integer when defined
      Matches the category
      Yes
    3. Text
      Always exists
      Matches the category
      No
    4. Text
      Equals the order
      Matches the category
      No
    Category
    True of the DEGREE of a differential equation

Explanation

General and particular solutions differ only by whether the constants have been pinned down. Source: syllabus Maths Part II, Ch 9 Differential Equations.
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