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  • (a) Find the value of A so that the equation y ' - xy - 6x = 0 has a solution of the formy(x) = A + Be^((x^2)/2) for any

    (a) Find the value of A so that the equation y ' - xy - 6x = 0 has a solution of the formy(x) = A + Be^((x^2)/2) for any constant B.
    A=?
    (b) If y(0) = 5, find B
    B=?
    其他人氣:380 ℃時間:2020-04-09 05:02:53
    優(yōu)質(zhì)解答
    (a)
    y ' - xy - 6x = 0
    (A + Be^((x^2)/2))'-x(A + Be^((x^2)/2))-6x=0
    Bxe^((x^2)/2))-Ax-Bx((x^2)/2))-6x=0
    -Ax-6x=0
    A=-6
    (b)
    y(x)=-6+Be^((x^2)/2)
    y(0)=5,-6+B=5
    B=11
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