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Math Help - Integrating Factors method

  1. #1
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    Integrating Factors method

    Integrating Factors method-2013-08-26-22.21.11.jpg Could someone work out how the third equation (43) becomes the fourth equation (44). Seems like magic to me. Where does the K on the Tsub0 term go?
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  2. #2
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    Re: Integrating Factors method

    Just integrate the 3rd equation carefully, you will see
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  3. #3
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    Re: Integrating Factors method

    it's pretty clear that is what I am having trouble with
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  4. #4
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    Re: Integrating Factors method

    lol. When you integrate the 1st term on the RHS, integral of e^{kt} is e^{kt}/k which cancels out the k in the numerator. The integral of the LHS is ue^{kt} itself. The constant c is a constant of integration. First just integrate on both sides and divide both sides by  e^{kt}. You will arrive at the answer. Hope this helps.
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