2013Kathmandu University Journal of Science Engineering and TechnologyOpen access

On the 3rd order linear differential equation

BL Moreno-Ley, J. López‐Bonilla, Bhadra Man Tuladhar

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Abstract

If for an arbitrary 3th order linear differential equation, non-homogeneous, we know two solutions of its associated homogeneous equation (HE), then we show how to determine the third solution of HE and the particular solution of the original equation. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 7-10DOI: http://dx.doi.org/10.3126/kuset.v8i2.7319

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If for an arbitrary 3th order linear differential equation, non-homogeneous, we know two solutions of its associated homogeneous equation (HE), then we show how to determine the third solution of HE and the particular solution of the original equation. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 7-10DOI: http://dx.doi.org/10.3126/kuset.v8i2.7319

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Available abstract

If for an arbitrary 3th order linear differential equation, non-homogeneous, we know two solutions of its associated homogeneous equation (HE), then we show how to determine the third solution of HE and the particular solution of the original equation. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 7-10DOI: http://dx.doi.org/10.3126/kuset.v8i2.7319

Key concepts: Homogeneous differential equation, Homogeneous, Linear differential equation, Differential equation, Mathematics, Order (exchange), Exact differential equation, Characteristic equation

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