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7.3 CONCLUSION
In this work, we have found a compact form for a second-order linear
differential equation such that its solution can be derived after two con-
secutive integrations. This form follows directly by just renaming their
coefficients, and is independent of any requirement on such coefficients.
That is, the expression posses all generality.
KEYWORDS
Second-order
linear differential equation
Variation of parameters method
REFERENCES
1. Greenberg, M.; Application of Green's function in Science and Engineering. New
Jersey: Prentice-Hall;
1971
.
2. Spiegel, M.; Ecuaciones Diferenciales Aplicadas. Mexico: Prentice-Hall;
1983
.
3. Lanczos, C.; Linear Differential Operators. New York: Dover;
1997
.
4. López-Bonilla, J.; Yaljá Montiel, J.; and Zaldívar, A.; Factor integrante para una arbi-
traria ecuación diferencial lineal de 2do. orden.
Bol. Soc. Cub. Mat. Comp.
2010,
8(1),
35-39.
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