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Help me to solve this equation Urgent

  1. Apr 30, 2010 #1
    Help me to solve this equation.............Urgent

    Hi Friends

    Can anyone tell me the solution of this equation

    exp(-4Ax){D^4-8AD^3+16(A^2)D^2}+i/(constant)=0

    where
    i is complex no.
    A is a constant
    D indicates dy/dx or y'(x)

    Please Reply ASAP

    Thanks in Advance

    vinodjoshi
     
  2. jcsd
  3. Apr 30, 2010 #2
    Re: Help me to solve this equation.............Urgent

    Looks nonsensical to me. (1) If D indicates dy/dx, then there should be some function following the brace } for the operators to apply to. (2) What do you want to solve FOR?
     
  4. Apr 30, 2010 #3

    Mark44

    Staff: Mentor

    Re: Help me to solve this equation.............Urgent

    Notwithstanding the urgency of your request, you need to make an attempt at a solution before we can help you.
     
  5. Apr 30, 2010 #4
    Re: Help me to solve this equation.............Urgent

    (1) If he had said D indicates d/dx what you say would apply.
    (2) Usually you'd want to find y in terms of x and the constants A and "constant". (I assume that "i is complex no." means i=[itex]\sqrt{-1}[/itex].)
     
  6. Apr 30, 2010 #5
    Re: Help me to solve this equation.............Urgent

    Sorry friends
    Let me correct this equation
    The correct equation is
    (exp(-4Ax){D^4-8AD^3+16(A^2)D^2}+i/(constant))y=0
    Sorry for the inconvenience made
     
  7. Apr 30, 2010 #6

    Mark44

    Staff: Mentor

    Re: Help me to solve this equation.............Urgent

    Multiply both sides by exp(4Ax) and solve the differential equation
    (D4 - 8AD3 + 16A2D2 + Ki)y = 0

    Here D = d/dx and K = 1/const.
     
  8. Apr 30, 2010 #7
    Re: Help me to solve this equation.............Urgent

    Well Mark if you examine the equation closely, you will find exp(-4Ax) is not common in whole equation its only common for {D^4-8AD^3+16(A^2)D^2}. Then how to take care of i/(constant)???
     
  9. May 1, 2010 #8

    Mark44

    Staff: Mentor

    Re: Help me to solve this equation.............Urgent

    OK, I missed that, so what you get is (D4 - 8AD3 + 16A2D2 + Kie4Ax)y = 0

    This is pretty messy, but at least it's linear.
     
  10. May 1, 2010 #9
    Re: Help me to solve this equation.............Urgent

    Thanks for the help but can you explain how to solve it.....................
     
  11. May 1, 2010 #10

    Mark44

    Staff: Mentor

    Re: Help me to solve this equation.............Urgent

    What is the original problem statement?
     
  12. May 2, 2010 #11

    Redbelly98

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    Re: Help me to solve this equation.............Urgent

    According to Physics Forums policy, you will need to make some attempt at solving the problem yourself first. Surely there is something in your class lecture notes or textbook that is relevant. Make an attempt to share what you know, then others can help you.
     
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