The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential equation solver.) DSolve can handle ordinary differential equations, partial differential equations, and differential-algebraic equations...
Chapter 16 Differential Equations Chapter 17 Linear Algebra Chapter 18 Probability and Statistics Chapter 19 Importing and Exporting Data Chapter 20 Data Filtering and Manipulation Chapter 21 Working with Curated Data Chapter 22 Using Wolfram|Alpha Data in Mathematica ...
Mathematica MathSource package, http://library.wolfram.com/database/MathSource/2127. [RM57] Richtmeyer, R. and K. Morton. Difference Methods for Initial Value Problems. Krieger Publishing Company, 1994 (original edition 1957). [R87] Robertson, B. C. "Detecting Stiffness with Explicit Runge–...
The Mathieu functions are the solutions to the Mathieu differential equation (d^2V)/(dv^2)+[a-2qcos(2v)]V=0. (1) Even solutions are denoted C(a,q,v) and odd solutions by S(a,q,v). These are returned by the Wolfram Language functions MathieuC[a, q, z]
[KPS03] Kythe, P. K., P. Puri, and M. R. Schäferkotter,Partial Differential Equations and Boundary Value Problems withMathematica,2nd ed. Chapman and Hall/CRC, 2003. [L65] Lebedev, N. N.Special Functions and Their Applications. Prentice-Hall, 1965. ...
Mathematica MathSource package, http://library.wolfram.com/database/MathSource/2127. [RM57] Richtmeyer, R. and K. Morton. Difference Methods for Initial Value Problems. Krieger Publishing Company, 1994 (original edition 1957). [R87] Robertson, B. C. "Detecting Stiffness with Explicit Runge–...
Mathematicasupports 16-bit characters, contains more than 2,000 functions with numeric capabilities, an unlimited working and display precision, can operate on unlimited size matrices, and automatic and user-controlled numerical differential equation solving capabilities. ...
model. And then it’s quite beautiful how everything fits together. Say you’ve got some data. InMathematica8, you could fit it to some statistical distribution. Now inMathematica9 you can use the exact same functions to fit it to a time series model or a differential equation, or ...
解一个积分微分方程. 复制至剪贴板。 In[1]:= eqn = Derivative[1][y][x] == 1 + Sin[a x] + \!\( \*SubsuperscriptBox[\(\[Integral]\), \(0\), \(x\)]\(y[ t] \[DifferentialD]t\)\); 获得通解. 复制至剪贴板。 In[2]:= ...
In[3]:= Out[3]= NDSolve 也可以与其他 Mathematica 函数一起使用, 比如 Manipulate. 求解对应于参数 k 的某个特定值的偏微分方程,然后绘制所得的解: In[4]:= Out[4]=技术笔记 微分 微分方程 使用DSolve 求解微分方程 高等微分方程的数值求解 PDE Models Overview 相关...