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13 June, 09:12

Find the general solution of the differential equation. xy + y' = 138x

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  1. 13 June, 10:43
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    use an integrating factor

    y' + xy = 138x

    I F = e ∫ xdx = e ^ (x^2/2)

    y' e^ (x^2/2) + xy e^x^2/2 = 138x e^x^2/2

    x y * e^x2/2 = 138∫x e^x^2/2 dx

    xy * e ^ (x^2/2) = 138 e^ (x^2/2)

    y = 138 / x + c
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