On the General Solution of 2th Order Linear Differential Equation

J. López-Bonilla, G. Posadas-Durán, O. Salas-Torres
ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, México.
Email: lopezb@ipn.mx

ABSTRACT. We employ a method of factorization to obtain the general solution of the second order linear differential equation, which is an alternative procedure to the usual Variation of Parameters method of Lagrange. We consider that our approach can be adapted to linear differential equations of the third and fourth order.

KEYWORDS. Linear differential equation of second order, Variation of parameters, Factorization method.

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