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In my opinion, discrete mathematics is under-taught, relative to, say, calculus.
Please show code for what you have already tried! (Or is the question a homework problem you're asking us to do for you?) Have you already tried something simpler, such as applying Euler's Method? And why do you want to use Runge-Kutta here...
ok, the output after the integration seems a bit puzzling. but we can ask mma to skip generating conditions and get the same result as Sam: X[t] = {t^2, (1 - t)^2, 2 t}; dx = D[X[t], t] dx2 = dx.dx // Expand jj = Sqrt[dx2] ...
the Wolfram Demonstrations Project has a number of useful bits for gradient, but nothing along those lines for divergence and curl - so maybe someone will see this and build some demonstrations for those as well :-) $X^2 + x*y + y^2$ is just an...
What is the largest prime Mathematica can evaluate ?? by using PrimeQ[ ] ![no evaluation for 2^13466917-1][1] [1]: http://community.wolfram.com//c/portal/getImageAttachment?filename=Capture.PNG&userId=466668
Thank you very much Frank Kampas
Thank you so much Sean Clarke .but I want ask you another question if I solve this eq . I can solve it like homogenous eq. or exact eq. I get two equalivant solution how I can prove there equavilant by mathematica ???
[http://www.wolfram.com/broadcast/s?sx=mathematica+7][1] [1]: http://www.wolfram.com/broadcast/s?sx=mathematica%207
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you have f'(2)=-1*f''(4)=0 and you want f'(6) ?! if that ,try by using Solve