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Math Help - differential inhomogenous????help

  1. #1
    Member i_zz_y_ill's Avatar
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    Question differential inhomogenous????help

    y2+(7/m)y+(5/m)=0 (auxiliary eqn) where m=2.45=49/2
    k so used quadratic formula get one realroot 20/14

    so (complementary eqn) x=Ae^1.43t displacement time btw

    prior to a.e have x''+(7/m)x'+(5/m)x=g g=10ms^-2

    therefore to consider g do trial x = y
    5y/m 10
    y = 4.9
    therefore x = Ae^1.43t + 4.9


    FROM HERE IM STUCK

    answer is x = 4.9 - (7.01t + 4.9)e^-1.43t
    if n e onecan ee if ive gone wrong ,,,or show me wht t do now that'd be gr8 cheers!!!
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by i_zz_y_ill View Post
    y2+(7/m)y+(5/m)=0 (auxiliary eqn) where m=2.45=49/2
    k so used quadratic formula get one realroot 20/14

    so (complementary eqn) x=Ae^1.43t displacement time btw

    prior to a.e have x''+(7/m)x'+(5/m)x=g g=10ms^-2

    therefore to consider g do trial x = y
    5y/m 10
    y = 4.9
    therefore x = Ae^1.43t + 4.9


    FROM HERE IM STUCK

    answer is x = 4.9 - (7.01t + 4.9)e^-1.43t
    if n e onecan ee if ive gone wrong ,,,or show me wht t do now that'd be gr8 cheers!!!
    Well something really IS screwy because I'm not getting a real solution to your auxiliary equation for that value of m.

    -Dan
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