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8
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How does Mathematica find a series expansion of expressions containing logarithms when there is a singularity at the expansion point?

I am looking for a good approximation to a function containing logarithms, especially at values close to zero. When I used Mathematica's Series command I found ...
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63 views

Convergence problems with numerical integration of specific functions

I want to numerically integrate two functions that have several poles inside the integration region. These are the functions: ...
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41 views

Numerical solution of an ODE with a singularity at the initial value

I have a differential equation: (c^2-y[x]^2)*y'[x] - (a+b)*y[x]^2 + ((2/x)*c^2)*y[x] - c^2*b = 0 with the initial condition ...