The overwhelming majority of nonlinear differential equations are not soluble analytically.
绝大多数非线性微分方程是不能用解析方法求解的.
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This is called a normal system of differential equations.
这称为正规微分方程组.
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In 1728 Euler gave differential equations for geodesics on surfaces.
1728年,奥伊勒绘出了曲面上测地线的微方程.
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To some extent, his work pays dividends in differential equations.
他的工作在某种程度上给微分方程带来了好处.
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His doctoral dissertation on differential equations connected itself with existence theorems.
他论述微分方程的博士论文涉及到存在理论.
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His work remains mathematically in the realm of ordinary differential equations.
他的工作在数学上就停留在常微分方程的范围.
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Systems of linear differential equations can be handled by using the methods of linear algebra.
线性微分方程组可以应用线性代数中的方法求解.
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The earliest work in differential equations was first disclosed in letters from one mathematician to another.
常微分方程最早的著作出现在数学家们彼此的通信中.
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The more recent research on differential equations is concerned with the qualitative theory.
对微分方程更近代的研究是关于定性理论.
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The solution of the set of second - order linear differential equations depends on the eigenvalues of A.
二阶线性微分方程组(6.10)的解依赖于A的特征值.
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The theory of the solution of partial differential equations remained to be fashioned.
偏微分方程解的理论还有待于形成.
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Very general systems of differential equations can be reduced to the normal form.
形式很普通的微分方程组可以化为正规的形式.
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The generalization is quite similar to the corresponding one in the theory of differential equations.
这一推广和对应的微分方程中理论的推广相当类似.
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Solutions in this sense exist only for very few types of differential equations.
只有很少几类方程才存在这种意义下的解.
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As applications, a second order system of differential equations is considered.
作为应用, 考虑了二阶微分方程组,得到了新的结论.
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