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Math Help - Separable differential equation

  1. #1
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    Separable differential equation

    I try to solve (analytic) the following differential equation:

    x' - x^2 = 1 , x(0) = 1

    which is a separabel eq.


    Then I'm asked to give a NUMERICAL solution in the interval 0 - 0.6 . It should be 6 rounds with Eulers method.
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  2. #2
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    Quote Originally Posted by expresstrain View Post
    I try to solve (analytic) the following differential equation:

    x' - x^2 = 1 , x(0) = 1

    which is a separabel eq.


    Then I'm asked to give a NUMERICAL solution in the interval 0 - 0.6 . It should be 6 rounds with Eulers method.
    \displaystyle \frac{dx}{dt} = 1 + x^2 \Rightarrow \int \frac{dx}{1 + x^2} = \int dt etc.

    If you need more help, please show all ypouir work and say where you are stuck. Note that when studying differential equations it's assumed you are familar with the standard techniques of integration.
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