A Note on Particular Integral of Differential Equations

Linear differential equations with constant coefficients has been one of the modules to Graduate Engineering students pursuing B. Tech Programs from various educational institutions in India under the Course title, Engineering Mathematics. The academicians usually teach particular integral, to obtain solution of non-homogenous differential equations, and at some places, academicians opt for recent publications in order to extend knowledge of the current times keeping the teaching of these methods as their respective perogative. At the same time, students do learn many parallel methods in order to equip themselves as guided through lecture hall discussions and from prescribed text materials. The challenge happens to be evaluation of particular integrals to obtain the complete solution of the non-homogeneous equations that usually encounter vagaries of different methods. Choosing the exact technique to achieve the solution is an endless academic pursuit but students would score different marks with their answers. This paper proposes the choice of the exact method to calculate a particular integral to specific examples and consequences on execution of the proposed methods.