Particular Solution

particular solution

[pər¦tik·yə·lər sə′lü·shən]
(mathematics)
A solution to an ordinary differential equation obtained by assigning numerical values to the parameters in the general solution. Also known as particular integral.

Particular Solution

 

A particular solution of a differential equation F (x, y, y′, . . ., y(n)) = 0 is a solution y = Φ(x) obtained from the general solution y = Φ(x, C1, . . ., Cn) of the equation for some specific choice of the arbitrary constants C1, . . ., Cn. For example, the general solution of the equation y + y = 0 is yC1 cos x + C2 sin x; if we set C1 = 2 and C2 = –1, we obtain the particular solution y = 2 cos x – sin x.

References in periodicals archive ?
This particular solution works in some cases, but not all.
Organise brainstorming sessions: On the basis of student's input about course topics, the instructor can create open-ended problems that can offer multiple solutions and encourage them to find out multiple ways before concluding on one particular solution.
A key benefit of this particular solution is its flexible footprint which means it can fit into a wide variety of locations.
the obtained particular solution for cantilever converter of single PBS segment, assuming the layers are of the same length, conforms to the solution provided in [10];
the Arak plutonium reactor (in Iran), and we are grateful for the cooperation and the partnership with China with respect to that particular solution to a complicated issue of nonproliferation," Kerry said.
The dominant design phase--one particular solution is shown to be the most desirable (either as the most efficient or the one customers prefer) and becomes the only available choice.
There is a difference between wanting a Cyprus solution and accepting the content of a particular solution, President Nicos Anastasiades said in New York on Tuesday at a news conference to wrap up his visit.
He said the solution appears in the standard form as the sum of the solution of the equivalent homogeneous problem and the particular solution of the inhomogeneous problem at hand.
The main advantage of the method exposed herein is that the particular solution is computable from two different integrals, This allows the problem solver to choose the simplest integral with which to work with in order to get the final solution, he added.
Bell's platform was vague precisely because his party did not wish to commit to any particular solution to the sectional crisis other than Unionism and the Constitution.
The novel proposes no particular solution but rather leaves us to think about various personal, individual solutions.
Each chapter closes with step-by-step application exercises, which ask readers to draft a report justifying how and why they recommend a particular solution.