This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
The exact state equation solution of mechanical electric coupling for a simply supported beam subject to uniform distribution of load is given.
在此基础上，给出了两端简支压电梁机电耦合作用在均布载荷下的精确状态方程解。
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