FENG Lu-xiang. Fundamental Matrix of the First Order Linear Differential Equations Based on the Riccati Equation[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(2): 15-19.
Citation: FENG Lu-xiang. Fundamental Matrix of the First Order Linear Differential Equations Based on the Riccati Equation[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(2): 15-19.
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Fundamental Matrix of the First Order Linear Differential Equations Based on the Riccati Equation

    Abstract
  • As we all known,the structure of solutions for the varying-coefficient linear differential equations has been very perfect in theory,but there is not general method for concrete solutions of the fundamental matrix to follow.In the paper,relationship between solutions of the Riccati equation and a non-zero solution of the first kind varying-coefficient linear differential equations is analyzed,then the calculate formula for fundamental matrix is given out.
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