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A method of cubic spline collocation for construction of approximate solution of first order differential equation with impulse effect under Dirichlet’s boundary value conditions is considered. Software-ready realization of the method is proposed. AMS Subject Classification: 34B37, 65D07, 65L10, 68N19

SOFTWARE-READY CUBIC SPLINE COLLOCATION OF DIRICHLET BOUNDARY VALUE PROBLEM FOR FIRST ORDER DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECT