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Apr
29
comment Laplace transform of $\frac{1-\cos (t)}{t}$
I think you actually mean p == 2 t and the final line should be LaplaceTransform[2 Sin[t/2]^2/t, t, s], right?
Apr
29
revised Numerical solution of IVP for linear ODE with variable coefficient runs wild soon
deleted 1 character in body
Apr
28
comment Solving coupled differential equations with an eigenvalue
Seems that this hasn't been done: Hello, welcome to Mathematica.SE! I suggest the following: 1) As you receive help, try to give it too, by answering questions in your area of expertise. 2) Read the faq! 3) When you see good questions and answers, vote them up by clicking the gray triangles, because the credibility of the system is based on the reputation gained by users sharing their knowledge. Also, please remember to accept the answer, if any, that solves your problem, by clicking the checkmark sign!
Apr
28
comment Numerical solution of IVP for linear ODE with variable coefficient runs wild soon
You may want to take part in the discussion here :D, currently the transformation can be done by Assuming[0 < t < Pi/2, dChange[{y''[x] == (x^2 - 1) y[x], y[0] == 1, y[Infinity] == 0}, ArcTan@x == t, x, t, y[x]]].
Apr
28
revised Numerical solution of IVP for linear ODE with variable coefficient runs wild soon
added 1862 characters in body
Apr
27
comment Numerical solution of IVP for linear ODE with variable coefficient runs wild soon
The "DifferenceOrder" seems not to be helpful here, at least when it's together with "ImplicitRungeKutta" or "ExplicitRungeKutta"
Apr
27
comment Subsituting expressions for expressions
@F.E. I don't think there's any serious downside, it's just OK to use a[c] and b[d] directly. Of course it's better to use With when there's a lot of a[c]/b[d] to write.
Apr
27
answered Subsituting expressions for expressions
Apr
27
revised Numerical solution of IVP for linear ODE with variable coefficient runs wild soon
added 80 characters in body
Apr
27
revised Solving coupled differential equations with an eigenvalue
edited body
Apr
27
answered Solving coupled differential equations with an eigenvalue
Apr
25
comment In WolframAlpha, how can I make a Scatter Plot without connecting points?
Seems that parentheses aren't necessary: wolframalpha.com/input/…
Apr
25
asked Numerical solution of IVP for linear ODE with variable coefficient runs wild soon
Apr
23
comment Better method to swap the values of two 2-D arrays
There are two $a_{k+1,k+1}$ in the matrix?
Apr
23
comment Solving coupled differential equations with an eigenvalue
I noticed that you've modified your equations for several times, are you sure it's correct this time? Maybe you can show us the original problem?
Apr
23
comment Bizarre Compile Error, changing one symbol
Where's the definition of nSites?
Apr
23
accepted Analogue for Maple's dchange - change of variables in differential expressions
Apr
22
revised Analogue for Maple's dchange - change of variables in differential expressions
After checking the dictionary, now I'm sure it's a typo :)
Apr
21
revised BC for transport equation using NDSolve
Improve the format
Apr
21
comment Solving coupled differential equations with an eigenvalue
As mentioned above, ϕ[Ei] == 0 and ϕ'[Ei] == 0 give two equations, use either of them inside FindRoot or RootSearch will give you a result.