Difference between particular integral and particular solution?

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Particular integral and particular solution are terms used in solving differential equations, often interchangeably. However, some educators argue that there is no significant difference between the two. The discussion highlights that while "particular integral" may be used in certain texts, it is not universally recognized in teaching. Examples of their use in differential equations were requested to clarify their application. The conversation emphasizes the need for consistency in terminology within mathematical contexts.
shivaniits
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difference between particular integral and particular solution..??

particular integral and particular solution are used to find the solution of differential equation..but sometimes they are used interchangeably but what's the difference between two..??
please state examples..!
 
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shivaniits said:
particular integral and particular solution are used to find the solution of differential equation..but sometimes they are used interchangeably but what's the difference between two..??
I don't think there is any difference. When I was teaching diff. eqns. none used the "particular integral" terminology, but people have used it often enough here at PF that it must be in use in some texts.
shivaniits said:
please state examples..!
 

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