Tap every statement true of a general solution
Exercise and reference answers
- Questions
- Items
- Text
- Contains arbitrary constants
- Matches the category
- Yes
- Text
- Has as many constants as the order
- Matches the category
- Yes
- Text
- Represents a family of solutions
- Matches the category
- Yes
- Text
- Is free from arbitrary constants
- Matches the category
- No
- Text
- Is a single fixed curve
- Matches the category
- No
- Category
- True of a GENERAL solution
- Items
- Text
- Defined only for polynomial forms
- Matches the category
- Yes
- Text
- Is a positive integer when defined
- Matches the category
- Yes
- Text
- Always exists
- Matches the category
- No
- 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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