Recent content by dm164

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    High School What is the probability of picking a certain natural number?

    This is an interesting question more philosophical perhaps. So, what is the probability of any number? well it would have to be 0 based on the limit lim N→∞ 1/N. Like what is the probability I would say a number never in all history been said or written? Well it would still be 0. But, the...
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    Graduate How can I solve a coupled PDE and ODE using the method of lines?

    There seems to be some confusion with ODE and PDE. Are you trying to solve for C? If you just plug the second eqn. one into the first you won't get the most general solution. If so, since you are taking the partial against x and t you can assume the function is C(x,t). Which case gives...
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    High School Can the GCD and Euclidean Algorithm Solve Real Life Problems?

    GCD is used any time you want to simplify integers, but have the same ratios as the others have said. Another way to say it is the numbers scale equally. An example is in solving empirical formulas, where you reduce all integers in a chemical formula. Such as hexane C6H8 -> C3H4 GCD(6,8) is 2...
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    Graduate Solve L'Hopital's Rule for y(t) at Limit of t to Infinity

    Ah yeah, didn't see that way. Oh sure, kind of seems silly now \lim_{t \to \infty} y =√(\lim_{t \to \infty} v^2)= v Always good to know a fews ways to an answer.
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    Graduate Solve L'Hopital's Rule for y(t) at Limit of t to Infinity

    So I've come across this formula that I derived. y(t) =v2t/√(v2t2+b2) I would like to solve the limit of t to infinity analytically. When I apply L'Hopital I get y = lim v2 / lim v2t/√(v2t2+b2) but as you can see I would have to apply L'Hopital rule an infinite amount of times, now I...
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    Graduate Understanding Nonlinear Differential Equations in Classical Mechanics

    Well it better be conservative, otherwise my physics is wrong. If anyone is interested. This equation comes from the movement of a flat surface with two pressures that are reaching equilibrium. The motion I restrained to be linear. x is the length of a closed volume. I'm a little confused by the...
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    Graduate Understanding Nonlinear Differential Equations in Classical Mechanics

    Very Interesting, and the method makes a lot of sense wish I thought of it. Thanks.
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    Graduate Understanding Nonlinear Differential Equations in Classical Mechanics

    I tried some manipulation using rules of differentiation. And used the quadratic to get a new relation, then I assume there is only 1 solution and set the discriminate to 0. I don't know if I'm allowed to all of it. I then set d2x/dt2 = y And then got the equation C(y")2 = y another...
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    Graduate Understanding Nonlinear Differential Equations in Classical Mechanics

    Hi, I want to solve a differential equation but I have never dealt with nonlinear equations before. Here it is : A - B/x = x" for x(t) A,B are constants you can absorb the negative if it matters. I would like an analogical answer, but I'm not sure if it's possible. And any...
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    Graduate Difficult Integral of trig and sqrt functions

    I'm having troubles solving this integral. ∫ (sinx)^2 / √( a - b*cos(x)) dx ; a & b just constants I've tried many routes but get stuck. And when substitution and product rule methods seem to fail. Are there other methods useful to go to when integrating strange functions?
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    Graduate How to Solve Nonlinear Equations in Physics?

    I have been deriving a formula from physics. Anyway, I came across a equation that goes by the form y = exp(1/(xy)) *(b - 1/x) solve for y ; b is a constant there are other constants but i removed them for simplicity. or x = exp(1/x) solve for x , it is a function Could some one at least...
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    Graduate Manipulating Equations with Del Operators

    I'm trying to understand how to manipulate equations with del operators. If I have a equation like : div( A + B ) = div(E) and assume A,B,E are twice differential vectors do div cancel? can I say E = A + B? If I write is like this div( A + B - E ) = 0 div( A + B - (A + B)) = 0...
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    Undergrad Magnetic Force of identical shaped box bar magnets

    I found this http://en.wikipedia.org/wiki/Magnet#Units_and_calculations_in_magnetism
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    Undergrad Magnetic Force of identical shaped box bar magnets

    Bio Savart works with a moving charge, but I don't know the speed the electrons. What formulas can be used to determine the repelling or acting force of magnet. And what information do I need about a magnet's strength that will help me.