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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.

3 votes
2 answers
226 views

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) - ...
sap7889's user avatar
  • 93
0 votes
1 answer
171 views

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 ...
John C's user avatar
  • 1