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Math Help - How to solve this into particular solution??

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    Question How to solve this into particular solution??

    How to solve this into particular solution??-2013-03-02-13.55.37.jpganyone can give me the full solution of question 13? I stucked halfway
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    Re: How to solve this into particular solution??

    I am always very dubious when people beg for full solutions after I read things like "I'm stuck halfway" or "I've gone as far as I can" without even showing what they have done to prove they've put in some effort. When I see that, I'll put in some effort to solve this DE...
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    Re: How to solve this into particular solution??

    How to solve this into particular solution??-2013-03-02-22.55.46.jpg when i use this way,i cant find the answer
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    Re: How to solve this into particular solution??

    You can't take variables outside of integral signs like you can with constants. You will need to use a substitution with each integral.
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    Re: How to solve this into particular solution??

    HW094

    It seems that you have no nowledge of integration .
    How you took out of the integral the variables y and x
    First you did correct to separate the variables after all this D.E can be done this way.

    now try to integrate the fractions (y/y^2+1)dy and (x/x^2+1)dx both are the same....
    Manipulate the differential dx and make it d(x^2+1) and divide the integral by 1/2 the integral will look like this
    (1/2)integral(d(x^2+1)/(x^2+1)) which of course give you (1/2)Ln(y^2+1) = (1/2)ln(x^2+1)+k or you may put k=(1/2)lnc
    so that y^2+1=c(x^2+1)

    Use the conditioons given to calculate the constant c which is 1/2
    therefore the solution of the D.E IS y^2=1/2(x^2+1)-1
    check the calculations for any typing error .

    MINOAS
    Last edited by MINOANMAN; March 2nd 2013 at 06:30 AM.
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