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Math Help - Differential Equation

  1. #1
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    Differential Equation

    Let be a positive number. Consider the differential equation


    Find the length of the maximal interval on which this differential equation has a solution.

    1. I divided the from both sides which yields

    2. I integrated both sides


    3. Since f(0)=0, then


    So, would the maximal interval be ?

    Thank you for your time.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Paperwings View Post
    Let be a positive number. Consider the differential equation


    Find the length of the maximal interval on which this differential equation has a solution.

    1. I divided the from both sides which yields

    2. I integrated both sides


    3. Since f(0)=0, then


    So, would the maximal interval be ?

    Thank you for your time.
    Yes, except note that you did not maintain the ' on the f'(x) after the first step
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  3. #3
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    Ah yes, thank you.
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