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INTRODUCTION. Let us have the complete linear homogenous differential equation in its normal form: (1) y x b y x a y ⋅ + ′ ⋅ = ′ ′ ) ( ) ( If in the equation (1) the coefficients a(x) and b(x) are continuous, then the equation has a unique twice continuous and differentiable solution y(x), which can be determined by iterations. The same is determined by finding the first integrals from the normal form (1) of the given equation.

ITERATION SEQUENCES METHOD FOR THE COMPLETE LINEAR HOMOGENOUS DIFFERENTIAL EQUATION OF THE SECOND ORDER ITERATIONS. EVALUATION.