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Math Help - Ordinary Differential Equations!Urgent Help Neede

  1. #16
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    Quote Originally Posted by Isomorphism View Post
    Yes you can.



    You mean "integrating factor"? There is no need for it here, since the differential equation is in separable form..

    yup, what i mean is an "integrating factor"..so we only no need to consider the integrating factor when the differential equation is in separable form huh?thanks mates..really2 thanks

    i will come out with my final solution for question 1 first (still need a help in question 2 afterwards)


    p/s: you are a lecturer or tutor maybe huh? sorry for off topic
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  2. #17
    Lord of certain Rings
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    Quote Originally Posted by noob View Post
    p/s: you are a lecturer or tutor maybe huh? sorry for off topic
    Well... not yet
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  3. #18
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    Quote Originally Posted by noob View Post
    Hye all, as a newbie in this forum, i would be really sorry if got any mistake or indirectly breaching the terms and condition in this forum.


    I'm just really2 need a help from anyone of you, please helping me to attain the solution of both questions. The question is on Ordinary Differential Equations topic. This is my important assignment question as it will bring 15% of my career marks (continuous assessment) before final exam. Please really help as that 15% is too important to me..thanks in advanced mates




    Hye again..thanks again for all your instruction, im done with no 1..now it is no 2 question

    after differentiate with respect to x i obtain

     y''+ 2xy'+2y

    thus,how can i get the characteristic equation (as the initial step of using variation of parameter method) from that equation since got two variables which is x and y;

    m^2+2xy+2


    anybody help??thanks in advance

    i thought is it we need to separate those x??
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  4. #19
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by noob View Post
    thank you very much, from the question needed, is it i can left the answer just like this??one more things that quite confusing me is when did we need to consider the integral factor?? some question in book using an integral factor method
    Read [in particular] post #2 (integrating factor) and #8 (variation of parameters) in my Differential Equations Tutorial. This may help with future problems.
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  5. #20
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    Quote Originally Posted by Chris L T521 View Post
    Read [in particular] post #2 (integrating factor) and #8 (variation of parameters) in my Differential Equations Tutorial. This may help with future problems.
    i know how to use the method of variation of parameter, the problem now is how can i attain the characteristic equation since got two variables (as my previous post)..could u please help me to find it
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  6. #21
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by noob View Post
    Hye again..thanks again for all your instruction, im done with no 1..now it is no 2 question

    after differentiate with respect to x i obtain

     y''+ 2xy'+2y

    thus,how can i get the characteristic equation (as the initial step of using variation of parameter method) from that equation since got two variables which is x and y;
    Quote Originally Posted by noob View Post
    i know how to use the method of variation of parameter, the problem now is how can i attain the characteristic equation since got two variables (as my previous post)..could u please help me to find it

    Well, if the equation was x^2\frac{d^2y}{dx^2}+2x\frac{dy}{dx}+2y=0 then the DE has the form of a Cauchy-Euler Equation and a characteristic equation could be easily found.

    However, that's not the case. Also, Mathematica and the TI-89 tell me there is no solution to the DE...
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