Recent content by yus310

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    Undergrad Fundamental- solving a second order differential equation

    You are solving the typical equation for a oscillator vibrating. You are on the right track. But you got imaginary roots. what is exp^(i*root).. what is this in terms of trig functions? Then it will make sense good job, yus310
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    Graduate Coupled Nonlinear Differential Equations

    This is why mathematica is not solving thsi. "where I(t,0)=I0*exp(-4ln2(t/Δt)^2)" are you sure this is so, what if Δt=0? then what?
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    Graduate Can Euler's Differential Equation Be Solved Using Initial Values?

    Excellent! You are thinking like mathematican! Keeping going! gOOD JOB!
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    Undergrad Where are nonlinear dynamics and chaos theory used?

    First of all the question of interest is too broad. Hence my reply. Second, there are many applications of http://en.wikipedia.org/wiki/Van_der_Pol_oscillator are utilized in studying neurons and irregular heart beats. The Butterfly effect, is a thoroughly interesting theory and...
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    Graduate Infinitely differentiable function

    You can apply L Hopital's rule setting \epsilon=[1][/x^2] so then \epsilon*(\epsilon)^0.5*e^(-1*\epsilon) you can see this utilizing L'hopital's rule
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    Graduate Harmonic Functions, conjugates and the Hilbert Transform

    What is this publication?
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    Undergrad Where are nonlinear dynamics and chaos theory used?

    Look at Lorentz effect=awesome, weather related heart beat=disease structural mechanics electromagnteism
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    Graduate Question about 2nd order linear ODEs series solutions

    "excellent job and your analysis point on, pasmith. You are correct on all notes, a_0 and a_1 are arbitary, unless given specifications. " yus310
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    Evaluate the integral (help) sin2x dx b=pi/8 a=0

    You are asking the wrong question. Ok, so what is the equivalent to sin(2x), in terms of sin(x), cos(x), equally, WHY u=2x HOW DID YOU GO FROM du=2dx to du= 1/2dx? and why? It seems this is the problem, if you take a look. Cheers, yus310
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    Graduate How Can Visual Learners Master PDEs and Fourier Transforms?

    I apologize but openly and honestly your attitude stinks. I am offering help, and you are basically telling me nothing is online. Well that leaves both nowhere right? You want to do math, engineering, whatever, try to change your attitude. Lets start again now. Ok? Well, how can I...
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    Graduate How Can Visual Learners Master PDEs and Fourier Transforms?

    HOw cna I help you better understand math? I am eng. but I have to math background in my research? How can I help? Give me clues? yus310
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    Graduate How Can Visual Learners Master PDEs and Fourier Transforms?

    You don't need to be a math prodigy to be a math lover and looker. Spend some time on the forums, read up and learn. If so ask questions. Trying and playing is better than just researching.
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    Graduate Finding the Annulus of Convergence for a Laurent Series

    If have to go back to Calc II, and find or use a series of test series e.g. alternating series comparsion tests to see how and when they converge...
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    Graduate Partial fraction decomposition with complex function

    You need to apply laplace's transform to this to solve for this. you have the write set up, BUT A/(x^2+a^2) + B/((x^2+a^2)^2), look up laplace transforms and do it as so... you can solve it then. Yus310
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    Graduate What are the Boundary Conditions for Solving Uxx - Uy - Ux =0?

    There are a couple of ways to solve this One them to specify weight functions based on boundary conditions and apply these eigenfunctions, as so, it is related to Fourier series ... Tell me what are the BC's?