Definition of particular solution in English:

particular solution

noun

Mathematics

A form of the solution of a differential equation with specific values assigned to the arbitrary constants.
〔数〕特解
Example sentencesExamples
- In the example of Fig.1, once a particular solution involving nine atoms is determined, 25 constraints are required.
- This solution showed that there is a particular solution of Einstein's equations which allows time-travel to occur.
- We can verify by substitution that two particular solutions of the difference equation are possible, Q n = 1 for all n and Q n = (q/p) n, and therefore the linear combination of these two particular solutions is also a solution,
- However, a particular solution, valid for many types of fluid flow, was one of the key ingredients in the discovery of the basic principles of flight.
- The very fact of the non-uniqueness of a particular solution to a complex problem qualifies the whole idea of ‘perfection’.

Definition of particular solution in US English:

particular solution

noun

Mathematics

The most general form of the solution of a differential equation, containing arbitrary constants.
〔数〕特解
Example sentencesExamples
- We can verify by substitution that two particular solutions of the difference equation are possible, Q n = 1 for all n and Q n = (q/p) n, and therefore the linear combination of these two particular solutions is also a solution,
- This solution showed that there is a particular solution of Einstein's equations which allows time-travel to occur.
- In the example of Fig.1, once a particular solution involving nine atoms is determined, 25 constraints are required.
- The very fact of the non-uniqueness of a particular solution to a complex problem qualifies the whole idea of ‘perfection’.
- However, a particular solution, valid for many types of fluid flow, was one of the key ingredients in the discovery of the basic principles of flight.

单词	particular solution
释义	Definition of particular solution in English: particular solution noun Mathematics A form of the solution of a differential equation with specific values assigned to the arbitrary constants. 〔数〕特解 Example sentencesExamples In the example of Fig.1, once a particular solution involving nine atoms is determined, 25 constraints are required. This solution showed that there is a particular solution of Einstein's equations which allows time-travel to occur. We can verify by substitution that two particular solutions of the difference equation are possible, Q n = 1 for all n and Q n = (q/p) n, and therefore the linear combination of these two particular solutions is also a solution, However, a particular solution, valid for many types of fluid flow, was one of the key ingredients in the discovery of the basic principles of flight. The very fact of the non-uniqueness of a particular solution to a complex problem qualifies the whole idea of ‘perfection’. Definition of particular solution in US English: particular solution noun Mathematics The most general form of the solution of a differential equation, containing arbitrary constants. 〔数〕特解 Example sentencesExamples We can verify by substitution that two particular solutions of the difference equation are possible, Q n = 1 for all n and Q n = (q/p) n, and therefore the linear combination of these two particular solutions is also a solution, This solution showed that there is a particular solution of Einstein's equations which allows time-travel to occur. In the example of Fig.1, once a particular solution involving nine atoms is determined, 25 constraints are required. The very fact of the non-uniqueness of a particular solution to a complex problem qualifies the whole idea of ‘perfection’. However, a particular solution, valid for many types of fluid flow, was one of the key ingredients in the discovery of the basic principles of flight.
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