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Math Help - Differential equation formulation

  1. #1
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    Differential equation formulation

    Hey all, just had a question about any approach to this problem I have:

    Find a function f(y) with the property that: for each solution y(x) of dy/dx = f(y), the limiting value lim (x approaches infinity) y(x)=3 if y(0) > 0.

    I'm not exactly too sure of where to start or go with this. Any help on this? Thanks plenty!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by lute View Post
    Hey all, just had a question about any approach to this problem I have:

    Find a function f(y) with the property that: for each solution y(x) of dy/dx = f(y), the limiting value lim (x approaches infinity) y(x)=3 if y(0) > 0.

    I'm not exactly too sure of where to start or go with this. Any help on this? Thanks plenty!
    how about you start by finding a function y(x) such that \lim_{x \to \infty}y(x) = 3 first. that shouldn't be too hard. then make a differential equation from it
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