The General Solutions of Fourth Order Cauchy-Euler Equations Using Sumudu Transform

Main Article Content

Tawikan Treeyaprasert
Kullanat Thanaphatikun
Kittipong Poltawee
Vetaga Permpoonpornsin

Abstract

Using the Sumodu transform technique, we investigate the general solution of the fourth order homogeneous Cauchy-Euler equation


      gif.latex?t^{4}y^{\left(&space;4\right)&space;}+at^{3}y^{\prime\prime\prime}+bt^{2}y^{\prime&space;\prime}+cty^{\prime}+dy=0


and the fourth order nonhomogeneous Cauchy-Euler equation


     gif.latex?t^{4}y^{\left(&space;4\right)&space;}+at^{3}y^{\prime\prime\prime}+bt^{2}y^{\prime&space;\prime}+cty^{\prime}+dy=r\left(&space;t\right)


where  gif.latex?a,b,c,d are real numbers and gif.latex?r(t)  is a polynomial function.


 

Article Details

How to Cite
Treeyaprasert, T., Thanaphatikun, K. ., Poltawee, K., & Permpoonpornsin, V. (2024). The General Solutions of Fourth Order Cauchy-Euler Equations Using Sumudu Transform. Thai Journal of Science and Technology, 12(2), 66–77. https://doi.org/10.14456/tjst.2024.7
Section
วิทยาศาสตร์กายภาพ

References

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