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The Generalized Solutions of the nth Order Cauchy–Euler Equation

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In this paper, we use the Laplace transform technique to examine the generalized solutions of the nth order Cauchy–Euler equations. By interpreting the equations in a distributional way, we found… Click to show full abstract

In this paper, we use the Laplace transform technique to examine the generalized solutions of the nth order Cauchy–Euler equations. By interpreting the equations in a distributional way, we found that whether their solution types are classical, weak or distributional solutions relies on the conditions of their coefficients. To illustrate our findings, some examples are exhibited.

Keywords: generalized solutions; order cauchy; nth order; solutions nth; cauchy euler

Journal Title: Mathematics
Year Published: 2019

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