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A particular solution for the n-th order linear differential equations with constant coefficients that are free of term such as  P ( x )·  e a · x ·cos n x  or/and  Q ( x )· e b · x · sin n x ,  n ∈  N , can be determined based on two elements: the way in which cos n x  and sin n x  can develop, and, on the other hand on the way a particular solution for the free terms  P ( x ) · e a · x ·cos n x  or/and  Q ( x )· e b · x ·sin m x ,  n  ∈ N  is sought. We can, of course, write the way a particular solution looks also in the case we have a combination of the two terms or more terms of this kind.

international conference knowledge based organization

Determining a Particular Solution for N-th Order Linear Differential Equations with Constant Coefficients that Have the Free Term in the Following Form e a · x ·P(x) ·cos n x or e b · x ·Q(x)·sin n x