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Thread: First-order Nonlinear Equation with Linear Coefficients

  1. #1
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    First-order Nonlinear Equation with Linear Coefficients

    How do I solve this one?

    (2x - y + 4)dy + (x - 2y + 5)dx = 0
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  2. #2
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    Re: First-order Nonlinear Equation with Linear Coefficients

    Quote Originally Posted by mafra View Post
    How do I solve this one?

    (2x - y + 4)dy + (x - 2y + 5)dx = 0
    Find the point of intersection of the two lines 2x - y + 4 = 0, and x - 2y + 5 = 0. Suppose that intersection occurs at the point (x_{0},y_{0}). Then do the substitution u=x-x_{0} and v=y-y_{0}.

    The result of this substitution should result in a recognizeable type of DE. What do you get?
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