2007Journal of Gansu Lianhe UniversityRequires access

The Special Solution Formula of A Third Order Ordinary Differential Equation

Xinyi Chen, Tang Wen-ling

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Abstract

By the method of comparing coefficient,the formula of the special solution of constant coefficient differential equation y+py″+qy′+ry=(a_0+a_1x+a_2x~2)e~(λx) is given.Using the formula to get the special solution of the differential equation is discussed.

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By the method of comparing coefficient,the formula of the special solution of constant coefficient differential equation y+py″+qy′+ry=(a_0+a_1x+a_2x~2)e~(λx) is given.Using the formula to get the special solution of the differential equation is discussed.

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Available abstract

By the method of comparing coefficient,the formula of the special solution of constant coefficient differential equation y+py″+qy′+ry=(a_0+a_1x+a_2x~2)e~(λx) is given.Using the formula to get the special solution of the differential equation is discussed.

Key concepts: Mathematics, Ordinary differential equation, Mathematical analysis, Constant coefficients, Exact differential equation, Differential equation, Constant (computer programming), Hill differential equation

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