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Jul
2
revised Green function - i need same HELP
deleted 4 characters in body
Jul
2
answered Uniqueness of weight function.
Jul
2
comment Nonlinear equation (oscillon) comparison
@ComplexGuy What do you mean? Can you be more explicit?
Jul
1
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.
Jul
1
answered Nonlinear equation (oscillon) comparison
Jul
1
revised pressure in earth's atmosphere as a function of height above sea level
edited tags
Jun
20
answered Conditions for Unique Solution for this PDE
Jun
4
comment Heat equation in polar co-ordinates
You get my vote for a very neat explanation :)
Jun
3
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?
May
28
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.
May
24
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.
May
24
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!
May
23
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?
May
22
revised How to solve $at + b = 0 \pmod {(a-t)}$?
deleted 1 characters in body; edited title
May
21
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.
May
21
revised Chain rule Differentiation help
added 11 characters in body
May
21
comment Chain rule Differentiation help
Where are you stuck?
May
16
revised Solving ODE using frobenius method. 3 coefficients
deleted 64 characters in body
May
16
revised Solving ODE using frobenius method. 3 coefficients
added 405 characters in body
May
16
comment Solving ODE using frobenius method. 3 coefficients
There was a mistake in the recurrence relation. See the edit for details. I'm not sure what you mean by making $a_{-1} = 0$ in the beginning. The point is that there is no $a_{-1}$, that's why you have to let go the first terms of the sums before shifting the indices, which in turn closes the recurrence relation.