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<p>In this paper, for an Euler-type linear equation of order&#xa0;<i>n</i>, we indicate a change of variable and conditions for the coefficients under which the equation can be reduced to an equation with constant coefficients. For a solution of the inhomogeneous equation, we construct an explicit integral representation depending on the roots of the characteristic equation.</p>

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ON ONE LINEAR EQUATION OF THE EULER TYPE

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • R. Mustafoqulov

摘要

In this paper, for an Euler-type linear equation of order n, we indicate a change of variable and conditions for the coefficients under which the equation can be reduced to an equation with constant coefficients. For a solution of the inhomogeneous equation, we construct an explicit integral representation depending on the roots of the characteristic equation.