True or false: what a solution is

Exercise and reference answers

Questions

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

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