1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Diff. eqn + erf (error function)

  1. Mar 21, 2008 #1
    I’m stacked with this problem for many days, someone can help me pleeeeease:

    (a) [tex]f \left( x \right) =\int _{-\infty }^{{x}^{2}/2}\!{e^{x-1/2\,{t}^{2

    I foud the solution: [tex]f \left( x \right) =1/2\,{e^{x}}\sqrt {2\pi } \left( 1+{\it
    erf} \left( 1/4\,{x}^{2}\sqrt {2} \right) \right) [/tex]

    (b) Find the solution of the dfferential equatio:
    [tex]{\frac {d^{2}}{d{x}^{2}}}y \left( x \right) =f \left( x \right) [/tex] with y(0)=0 and dy(0)/dx = 0

    In the form : [tex]y \left( x \right) =\int _{0}^{x}\! \left( x-t \right) f \left( t
    \right) {dt}[/tex]

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted