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Maths Method Question

  • 13-03-2013 01:14AM
    #1
    Scubasteve123
    Registered Users, Registered Users 2 Posts: 8 ✭


    ive 3 questions and was wondering could someone help me out :/ i think i have most of it done.

    1. Consider the difference equation
    Xn+2 − Xn+1 − 6Xn = 6n + 5.

    (a) Find the homogeneous solution to the difference equation.
    (b) Find a particular solution to the difference equation.
    (c) Solve the difference equation subject to the initial coditions
    x0 = 0, x1 = 0.

    ive been struggling to get the second bit...
    i believe part a ans is...
    Xh(up)n(below that) = (c1)(3*n) +(c2)(-2*n)

    .................................
    i believe part b u have to find the particular soln
    Xp(up)n(below that) = p

    now im lost could any1 help me out

    3. Solve the differential equation
    dx
    dt = −7x, x(2) = 2.

    and on this question im not even sure were to start..test in the morning and i really should know this :/


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