Recent content by Dr Game

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    What Formula Solves the Integral of dy / (1+y^2)?

    then its got to be \frac{1}{y^2}Tan^-^1+C
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    What Formula Solves the Integral of dy / (1+y^2)?

    im confused could the integrual be \frac{1}{2y^2}ln|\frac{1-y^2}{1+y^2}| + C ?
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    Quenching and Hardness Testings

    I take it you are or where a metallurgist? You have found some pretty impressive resources, usually it's hard to find such descriptive things on the Internet... it compares quite well with the books I have on it
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    Solution Verification for Dy = 2y/x using y = Cx^2

    2Cx = \frac {2Cx^2}{x} 2Cx = 2Cx is that possible?
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    Solution Verification for Dy = 2y/x using y = Cx^2

    Homework Statement Verify that the function is a solution of the DE Dy = \frac{2y}{x} , y = Cx^2 2. The attempt at a solution LHS = Dy = D(Cx^2) = 2 Cx RHS = \frac{2y}{x} then... I really don't know what to do from there... do I just simply things?
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    Deriving y & Solving y'' + 4y' - 5y = 0 with C

    alright thought so, so I should get the same answer if C wasn't there, which is 0 25Ce^-^5^x+4(-5Ce^-^5^x)-5Ce^-^5^x = 0
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    Deriving y & Solving y'' + 4y' - 5y = 0 with C

    It's been a while, but how would you go about deriving y = C e^-^5^x and plug it into this equation y'' + 4y' - 5y = 0 i can do this without C the answer would be 0, but what do I do with C there?
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    Understanding Orders & Degrees in an Equation

    you know what... I thought it was the number that comes out after you derive it a few times.. not how many times you derive it i get it now, thanks
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    Understanding Orders & Degrees in an Equation

    because I don't understand
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    Understanding Orders & Degrees in an Equation

    the following is an attachment of my notes: I don't get why the order is 2 and not -3
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    Why Are Women Underrepresented in Engineering Fields?

    I'm almost done mech eng in Ottawa.. there where never any girls in our year, but there is one below my year.. and she said she's doing it because where she works she's an electrical engineer, and they've started to need people on more of the mechanical side, so they're paying her to take the...
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    Understanding Orders & Degrees in an Equation

    I was taking notes in class and the prof said that in the equation y^(double prime)-3y^(prime)+2y = 0 that 2 was the order.. is that due to the following? the first y = 0 when you take the derivative twice the second y = 0 when you derive it once and the first one = 2 when you derive it...
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    What is the difference between d^2y/dx^2 and dy^2/dx^2?

    wow.. I see how to do the second one.. its almost like a whole new order of operations to me... you derive first, then square it... I'm very gracious for you spending your time and effort with me, thank you
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    What is the difference between d^2y/dx^2 and dy^2/dx^2?

    why do you only take the derivative once... is not everything else squared too? you have to derive it twice don't you to get rid of \frac{d}{dx}
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