Questions tagged [calculus-and-analysis]
Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.
2 questions from the last 7 days
3
votes
2
answers
226
views
Solving a coupled 2nd order differential equation numerically using NDSolve
I would like to solve the following system of differential equations numerically for two one-dimensional functions $R(x)$ and $\phi(x)$:
\begin{eqnarray}
c_1 \left(R''(x) - (\phi'(x))^2 R(x) \right) - ...
0
votes
1
answer
171
views
How does Mathematica define the indefinite integral $\int f(x) dx$? [closed]
How does Mathematica define the indefinite integral $\int f(x) dx$?
For example, if you input into Mathematica Integrate[Sin[x], x] it will return $-\cos(x)$ and ...