Recent content by pr0me7heu2

  1. P

    How to make a surface plot involving an infinite series

    The easiest way to do it is: syms x y n v=4/pi*symsum(1/(2*n+1)*exp(-(2*n+1)*pi*x)*sin((2*n+1)*pi*y),n,0,100); ezsurf(v) https://docs.google.com/file/d/0B56mzK7jKc5ebE9nYlNVMUhuWVk/edit?usp=sharing ...still trying to work out complex errors if I try to do this without symbolic...
  2. P

    How to make a surface plot involving an infinite series

    I thought it would be as simple as: >> syms V0 n x y a >> for i=1:2:inf; i=n; s=1/n*exp(-n*pi*x/a)*sin(n*pi*y/a); end f=4*V0/pi*s; ezsurf(f) but this returns nothing; no error nothing. This is more for personal enrichment, rather than a class... unless someone else comes by and posts some...
  3. P

    How to make a surface plot involving an infinite series

    How to make a surface plot involving an infinite series in Matlab Solving Laplace's equation for electric potential for a 2D surface yields: V(x,y) = 4 Vo/pi * Ʃ (n=1,3,5,...) (1/n e^(-npi*x/a) sin(n*pi*y/a) ,where a is and Vo are constants ...it's convoluted, but basically, I need to...
  4. P

    Very Hard Integral (from int Coulomb) with -3/2 power + others

    Homework Statement I am trying to directly calculate the electric field (using Coulomb) at some arbitrary point P(0,0,z). The charge is evenly distributed over the surface of a sphere (radius R, charge density σ). Here I use θ for the polar angle and p for the azimuthal angle. I will leave...
  5. P

    Engineering Find the total power in the circuit

    This problem was driving me crazy as well... I, as The Electrician also calculated, found the b,d,and f are producing 770 mW and a,c, and e are absorbing 770 mW. Yet, as the answer in the back of the book (Nilsson / Riedel Electric Circuits 8.e) gives 770 mw. Carefully reading the question...
  6. P

    Graduate Solutions to Homogeneous 2nd-order Linear D.E.s

    ,so in class we're covering second-order D.E.s... How exactly was it determined/derived that all solutions to homogeneous 2nd-order linear differential equations with constant coefficients (ay'' + by' + cy =0, where a,b,c are real constants) are of the form y=ert. Not asking for anyone to...
  7. P

    Easier way of finding Integrating Factor for Exact Differential Equation?

    ...because the method of haphazrdly looking at the equation and thinking, "what will make this exact?" isn't exactly a method that will work all the time. And the method presented in the book and class yields factors that would simply suck trying to integrate. I was just curious if there were...
  8. P

    Easier way of finding Integrating Factor for Exact Differential Equation?

    Easier way of finding Integrating Factor for Exact Differential Equation?? Homework Statement ,find an integrating factor and then solve the following: [4(x3/y2)+(3/y)]dx + [3(x/y2)+4y]dy = 0 Homework Equations u(y)=y2 is a valid integrating factor that yields a solution...
  9. P

    Can the Undefined Limit of a Velocity Equation be Solved for as k Approaches 0?

    Undefined Limits as k--> 0 Homework Statement lim(k-->0) [ (-mg)/k + v*e^(kt/m) + (mg)/k*e^(kt/m)] ,the end result of this limit is ultimately supposed to be v -gt (or the velocity of an object at any time t neglecting air resistance). Homework Equations This equation comes...
  10. P

    Undergrad Are All Bases Sets of Orthogonal Vectors?

    Would all bases be sets of orthogonal (but not necessarily orthonormal) vectors?
  11. P

    Graduate Norm of a Function vs. Length of a Vector

    Suppose f(x)= -2x+1 is a vector in the vector space C[0,1]. Calculating the norm (f,f) results in 1/3. I'm a little confused. So on [0,1] the function is a straight line from (0,1) to (0,-1). So I thought I could simply takes this line segment and turn it into a directed line segment...
  12. P

    Undergrad Subspaces of R2 and R3: Understanding Dimensions of Real Vector Spaces

    So I'm considering dimensions of real vector spaces. I found myself thinking about the following: So for the vector space R2 there are the following possible subspaces: 1. {0} 2. R2 3. All the lines through the origin. Then I considered R3. For the vector space R3 there are the...
  13. P

    Using the Delta-epsilon definition but for two variables?

    I have probably over thought the whole thing... but I can't seem to find any place to start with this one: Using the formal definition of a limit: f(x,y)= y / (x^2 + 1) e=0.05