Pragabhava
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 Jul2 answered Green function - i need same HELP Jul2 revised Green function - i need same HELP deleted 4 characters in body Jul2 answered Uniqueness of weight function. Jul2 comment Nonlinear equation (oscillon) comparison @ComplexGuy What do you mean? Can you be more explicit? Jul1 comment Green's equation I'm guessing there is a typo on $u''(1) = 0$, and it should read $u'(1) = 0$. If not, the problem is not well stated. Jul1 answered Nonlinear equation (oscillon) comparison Jul1 revised pressure in earth's atmosphere as a function of height above sea level edited tags Jun20 answered Conditions for Unique Solution for this PDE Jun4 comment Heat equation in polar co-ordinates You get my vote for a very neat explanation :) Jun3 comment Solve system of Charpit equations It's easy to see that \begin{align}x'' - x &= 0 \\ y'' - y &= 0\end{align} Can you take it from here? May28 comment How to solve the two dimensional Laplace's equation for certain cases? I'm sorry for the late reply. I've been very busy and unable to work on it. As soon as I have time, I'll give it a look. May24 comment How to solve the two dimensional Laplace's equation for certain cases? On a side note, if you loose the spacebar between the "@" and the username, the user is notified that a comment has been made for him/her. May24 comment How to solve the two dimensional Laplace's equation for certain cases? There is no inconsistency whatsoever. You'll have two solutions, one inside the shell and the other outside. To solve the first one, you'll have to make all coefficients on the singularities zero ($B_0$, $C_n$, and $D_n$), and to solve the second you do the same with the other singularities ($A_n$, $B_n$, not including $A_0$). Then you glue the problem using the bounday and decay condition and that's it. As a consequence, the electric field will be discontinuous in the shell but, hey, we knew that already! May23 comment How to solve the two dimensional Laplace's equation for certain cases? Why do you say it might be convenient to take the origin outside the cable? Do you have a specific example? May22 revised How to solve $at + b = 0 \pmod {(a-t)}$? deleted 1 characters in body; edited title May21 comment Ordinary differential equations with double resonance In ODE's, resonance occurs when you force an oscillator with a periodic force where its frequency is the same as the natural frequency of the oscillator. For example $$\ddot{y} + \omega^2 y = \sin(\omega t).$$ In this case, the natural frequency of oscillation is $\omega$. I'm not sure on double resonance though. May21 revised Chain rule Differentiation help added 11 characters in body May21 comment Chain rule Differentiation help Where are you stuck? May16 revised Solving ODE using frobenius method. 3 coefficients deleted 64 characters in body May16 revised Solving ODE using frobenius method. 3 coefficients added 405 characters in body