Recent content by femiadeyemi

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    Way to re-express this equation by writing x and y separate?

    Hi All, I have an equation like this: \sum_{i=0}^{n} x^{i}*y^{i} is there a way to re-express this equation by writing x and y separate? Thank you
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    How Do You Solve This Complex Partial Differential Equation?

    Thank you for your response. I want to solve it analytically
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    How Do You Solve This Complex Partial Differential Equation?

    Hi All, Please I need your assistance to solve this PDE below: \frac{\partial^2 X}{\partial t^2} - \frac{\partial^2 X}{\partial z^2} + a(z,t) \frac{\partial X}{\partial t} + b(z,t) \frac{\partial X}{\partial z} +c(z,t) X =\Phi(z,t) With initial and boundary condition...
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    Understanding Dirac Delta Function: Time Derivative & Hankel Transformation

    Yes, I did, but I didn't fully grasp it. Anyway, this is what I can come up with, please take a look and let me know if it makes (physical) sense. Definition: q(r,z,t)=δ(t)Q(r,z) \frac{\partial q(r,z,t)}{\partial t} = Q(r,z) \frac{d}{dt}[δ(t)] \frac{\partial q(r,z,t)}{\partial t} = Q(r,z)...
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    Understanding Dirac Delta Function: Time Derivative & Hankel Transformation

    Hi Simon, Thanks for your response. Unfortunately, I'm still not totally clear. Can you please be more explicity. Once again, thank you. FM
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    Understanding Dirac Delta Function: Time Derivative & Hankel Transformation

    Hi All, I have a problem in understanding the concept of dirac delta function. Let say I have a function, q(r,z,t) and its defined as q(r,z,t)= δ(t)Q(r,z), where δ(t) is dirac delta function and Q(r,z) is just the spatial distribution. My question are: 1. How can I find the time derivative...
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    Solving Second order non-Homogeneous PDE

    Thanks! I will definitely love to drive with your help :) Let me give it a shot and I will let you know how it goes. Once again, thank you!
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    Solving Second order non-Homogeneous PDE

    Thank you very your reply. I've been going through my old mathematical physics text, from what I've read so far it seem the author is using Hankel transformation but I'm not totally sure though, but it worth giving it a shot! To answer your question. Yes, the operator in the pde is a Laplace...
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    Solving Second order non-Homogeneous PDE

    Hi Everyone, I was reading a paper and I found it hard to comprehend how some of the equations were arrived at, probably because my math rottenness. Anyway I need your help on understanding how these equations were arrived at. The problem goes like this: We have this PDE in cylindrical...
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    What Does the Lower Limit in This Integral Represent?

    I found it in a paper but the problem is that I couldn't make a sense out of how the equation of such was arrived at, so I was thinking if I could see some other example in which such equation was used, it will help to understand what I'm currently working on
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    What Does the Lower Limit in This Integral Represent?

    Thank you @Mute, you are safer! I still have couple more questions though: 1. How can someone arrive at this type of integral? 2. Assuming the upper limit of the integral, T>>y, how can I implement that in my solution. In between can you please recommend a textbook/paper that I can use...
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    What Does the Lower Limit in This Integral Represent?

    Hi All, I need your help, we we have an intergral like this ∫^{T}_{max \in \{0, t\}} f(x) dx what is the meaning of the lower limit in this integral? Thanks in advance
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