1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Series Solutions!

  1. Oct 27, 2008 #1
    1. The problem statement, all variables and given/known data
    1. Using series solution to solve dy/dx - y(x) = x where y(0) = -1. [y(x) = Σ ak x^k from 0 to infinity.
    2 Find c0 and c1 in y(x) = c0 e^αx + c1 e^-αx so that y(x) = a0 cosh(αx) +(a1/α) sinh (αx)
    3. Find the 2 independent solutions of x d2y/dx2 + 2 dy/dx +xy = 0 using the frobenius solution with r = 0, -1


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 27, 2008 #2

    HallsofIvy

    User Avatar
    Science Advisor

    You seem to have left out "The attempt at a solution". Certainly no deep thinking is required. Find the first derivative of [itex]y= \sum_0^\infty a_k x^k[/itex] and put those two series into dy/dx- y= x.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...