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True or false: what a solution is

Exercise and reference answers

Questions
  1. Statement is true
    Yes
    Statement
    A solution is a function that satisfies the equation.
  2. Statement is true
    Yes
    Statement
    A general solution describes a family of solutions.
  3. Statement is true
    Yes
    Statement
    A particular solution is obtained from a given condition.
  4. Statement is true
    No
    Statement
    A solution must be a polynomial.
  5. Statement is true
    No
    Statement
    An equation can have only one solution.

Explanation

The definition is simpler than people expect, and that is the point. Source: syllabus Maths Part II, Ch 9 Differential Equations.
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