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Thread: Integration...yet again

  1. #1 Integration...yet again 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    A-level integration is really bothering me, and i would appreciate if anyone could help me with this question.

    given that x=1, and t=0, solve the differential equation;



    hence: express this function given a subject to

    thank you in advance.


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  3. #2  
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    It's the easiest dif. eq. there is. All you have to do is separate the variables and you get dt=100/(x^2-(10-x)dx. Integration gives you t=(x*log(x)-x*log(x-10)-10)/x+C. Since t=0 when x=1, you have 0=1*0-1*log(-9)-10/1=-9.954242509 + 1.36437635 i, therefore C approx 9.95-1.36i.

    Of course, I have been known to be wrong before, and it is odd that your problem involves complex numbers. Eh, I've prolly made a mistake somewhere, but I can't figure out where.


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  4. #3  
    Forum Freshman Futurist's Avatar
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    I worked this out without any imaginary numbers, but I used that fancy little trick that matt A used to get there. The problem with that is that it's cheating or something.
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  5. #4 Re: Integration...yet again 
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    Quote Originally Posted by Heinsbergrelatz
    A-level integration is really bothering me, and i would appreciate if anyone could help me with this question.

    given that x=1, and t=0, solve the differential equation;



    hence: express this function given a subject to

    thank you in advance.
    HAve you made a mistake here?

    Shgouldnt it be




    not




    ie dt/dx not dx/dt?
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