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Counting arbitrary constants

Exercise and reference answers

Questions
  1. Question
    A first order equation's general solution carries
    Choices
    1. two
    2. none
    3. one arbitrary constant
    Correct choice
    one arbitrary constant
  2. Question
    A second order equation's general solution carries
    Choices
    1. two arbitrary constants
    2. one
    3. none
    Correct choice
    two arbitrary constants
  3. Question
    A particular solution carries
    Choices
    1. one
    2. no arbitrary constants
    3. as many as the order
    Correct choice
    no arbitrary constants

Explanation

The order fixes how many constants a general solution carries. Source: syllabus Maths Part II, Ch 9 Differential Equations.
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