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Math Help - Find an explicit particular solution

  1. #1
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    Question Find an explicit particular solution

    guys i am having hard time starting out with this problem. help me slove this..

    Find an explicit particular solution of the initial value problem:
    x dy/dx - y = (2x^2)y, y(1) = 1.
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  2. #2
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    Quote Originally Posted by DMDil View Post
    guys i am having hard time starting out with this problem. help me slove this..

    Find an explicit particular solution of the initial value problem:
    x dy/dx - y = (2x^2)y, y(1) = 1.
    x \cdot \frac{dy}{dx} - y = 2x^2y

    x \cdot \frac{dy}{dx} = 2x^2y + y

    x \cdot \frac{dy}{dx} = y(2x^2 + 1)

    \frac{dy}{y} = \left(2x + \frac{1}{x}\right) \, dx

    finish up
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