What is the particular solution of the first order difference equation y(n) ay(n-1)=x(n) where |a| - Study24x7
Social learning Network
Goraksha Dadhich
30 Mar 2019 11:03 AM study24x7 study24x7

What is the particular solution of the first order difference equation y(n)+ay(n-1)=x(n) where |a|<1, when the input of the system x(n)=u(n)?

A

1/(1+a) u(n)

B

1/(1-a) u(n)

C

1/(1+a)

D

1/(1-a)

Banking Railways UPSC Sciences
Like Comment | 1 Share
study24x7
Write a comment
  • geet sharma
    • The assumed solution of the difference equation to the forcing equation x(n), called the particular solution of the difference equation is
    yp(n)=Kx(n)=Ku(n) (where K is a scale factor)
    Substitute the above equation in the given equation
    =>Ku(n)+aKu(n-1)=u(n)
    To determine K we must evaluate the above equation for any n>=1, so that no term vanishes.
    => K+aK=1
    =>K=1/(1+a)
    Therefore the particular solution is yp(n)= 1/(1+a) u(n).

    See more

    Like
    Reply 30 Mar 2019 11:46 AM
    Related Questions
    500+   more Questions to answer

    Popular Courses

    Revision batch for Physics (12th cl... All Levels English By V PLUS U
    Reasoning Special by Parwez Sir for... All Levels हिन्दी By Reasoning special by Parwez Alam
    RRB NTPC Previous Year Papers with ... All Levels हिन्दी By Just Asking - Lets check your knowl...
    Nutrition, Therapeutics and Health ... All Levels English By Dr. V. Vijaya Lakshmi
    Online Free SSC Mock Tests All Levels English By Topline Coaching
    Average and Alligation for Bank PO ... All Levels हिन्दी By logicalangle
    RRB NTPC Mock Test Free 2020 in Hin... All Levels हिन्दी By Topline Coaching
    Soil and Water Conservation Enginee... All Levels English By Prof. Rajendra Singh
    English Special Course for SSC CGL,... All Levels English By Topline Coaching 999 1,499 33% off
    BANKING AWARENESS PREMIUM COURSE All Levels English By RAU IAS COACHING 499 799 38% off
    Featured Courses
    Popular Pages

    Featured Courses

    Basic Crop Production Practices (BCPP) All Levels English By Prof. J. R. Yadav Dr. Vinod Kumar Dr. Sharwan Kuma...
    FREE
    5.0
    BESTSELLER
    Reasoning Special by Parwez Sir for all Government... All Levels हिन्दी By Reasoning special by Parwez Alam
    FREE
    5.0
    RRB NTPC Previous Year Papers with keys - In Hindi All Levels हिन्दी By Just Asking - Lets check your knowledge
    FREE
    5.0
    Issues in Bioethics (Video) All Levels English By Dr. Sreekumar Nellickappilly
    FREE
    5.0
    GS 300 : Crash Course for BPSC & UPPSC Mains & PT Intermediate Level हिन्दी By Observer IAS 13,000 5.0
    IBPS PO (PRE) English Special by Pooja Mam All Levels English By Topline Coaching
    FREE
    5.0
    RRB JE Biology course All Levels English By Ashok Meena
    FREE
    4.5
    Dairy and Food process and products technology All Levels English By Prof. Tridib Kumar Goswami
    FREE
    4.5
    BANKING AWARENESS PREMIUM COURSE All Levels English By RAU IAS COACHING 499 5.0
    Government Jobs Exam Syllabus All Levels English By GOVERNMENT JOB NOTIFICATION
    FREE
    5.0

    Popular Pages

    SAT (Scholastic Assessment Test)

    18 followers

    Study24x7

    1225 followers

    Reasoning special by Parwez Alam

    147 followers

    Henry Harvin

    61 followers

    RAU IAS COACHING

    1611 followers

    Daily Current Affairs

    2086 followers

    CBSE Study Materials

    86 followers

    RRB 2020-21 (Railway Jobs)

    500 followers

    Results Alert

    749 followers

    Topline Coaching

    3613 followers

    Get the App

    Download the Study24x7 App, so you can connect and collaborate.

    study24x7
    study24x7
    Most Related Articles