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Math Help - Euler method

  1. #1
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    Euler method

    dy/dx = sin(xy), y(0) = 1

    Using Euler method to find an approximate value......


    When finding the approximate value, do I use sin in radians or in degrees???
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  2. #2
    A Plied Mathematician
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    You should assume radians. Radians are, in general, superior.
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  3. #3
    MHF Contributor

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    Especially when working with Calculus and Differential Equations. The laws \frac{d(sin(x))}{dx}= cos(x) and \frac{d(cos(x))}{dx}= -sin(x) are only true for x in radians.

    (In fact, the definitions of sine and cosine that you should be using at this point do not require that x be an angle at all- should not even have units just as you don't worry about the units for "x" in x^2- but in order to connect to the "old" trigonometric definitions (and keep the engineers happy), we can think of x as being in "radians".)
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