Recent content by fatimajan

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    2nd order nonlinear differential equation

    That's Ok, Thanks before I'm waiting...
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    2nd order nonlinear differential equation

    Hello Dear Dikfore, If you remember my problem, you led me till you asked about finding the stationary points and their type for my new nonlinear system. In fact, I couldn't find your answer, so I tried other numerical ways, although I didn't succeed. I want to continue your suggested...
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    Analytically Solving a Differential Equation with Constants a, b, and c

    Thank you for your help, jackmell and jjacquelin but dear jjacquelin, actually I don't know about power series method well to solve the equation like you again, since I think you've made a mistake just in transformed form (yy' in lieu of 2yy') in your attachment, so I want to know this...
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    Analytically Solving a Differential Equation with Constants a, b, and c

    Thank you for your guidanc, jjacquelin. do you mean yy'-at^(1/2)y=bt^(5/2)-ct^(3/2) ? well I see no difference between this and the initial form! maybe I'm wrong?
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    Analytically Solving a Differential Equation with Constants a, b, and c

    Hello every body, would you please help me to solve this equation analytically? actually I'm confused and I don't know what to do? yy'-axy=bx^5-cx^3 where a,b,c are constants thank you
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    2nd order nonlinear differential equation

    Dear Dickfore Actually I didn't understand what you meant about "stationary points". I tried to find out that. thus, today I found an article "Stationary points iteration method for periodic solution to nonlinear system" . is it the way you mean? I couldn't download it yet, however I'll do...
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    2nd order nonlinear differential equation

    Dear Dickfore I'm working on your guidance, I think it's so helpful. thank you very much
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    2nd order nonlinear differential equation

    Hi, Dickfore don't you help me anymore? I was hoping to solve my problem with the help of you! you really helped me, would you mind helping me again, please? thank you
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    2nd order nonlinear differential equation

    Hi, Dickfore but I don't think everything else is correct: Like I said I think you mean u^(-1/2)*P ->P NOT u^(1/2)*P ->P otherwise the equation doesn't have one term less. so, dx/du=u^(1/2)*P^(-1) then like you said dx/du contains an irrational function. Therefore, we can rewrite in the...
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    2nd order nonlinear differential equation

    Hi, Dickfore Thank you very much for your help again. you've introduced a new p, If I understand correctly, that is: u^(1/2)*p~p but didn't you mean, u^(-1/2)*p~p? ( Actually I mentioned the power of u)
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    2nd order nonlinear differential equation

    What do you mean? don't you help me anymore? :(
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    2nd order nonlinear differential equation

    I did what you said, Dickfore. the simplified equation is: P'(u)=u^(1/2)/a+P(u)*u^(-1)/2+n*u^2*(u-c)/(P(u)*a*b) what should I do after that? actually I don't know! Thank you
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    2nd order nonlinear differential equation

    Hi, Thanks for your help, Dickfore. my equation after that substitution transforms to: P(u)= P(u)*[p'(u)*u^(-1/2)-P(u)*u^(-3/2)/2]-n/b*u^(3/2)*(u-c) Where: a, n,c &b are constants like you said: P=du/dx, P=P(u) So how can I keep solving that? please help me... Thank you again
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    2nd order nonlinear differential equation

    Hello everybody, could you please direct me how to solve this nonlinear differential equation analytically, so by mathematica or matlab? I really need to solve it for my research project, so please help me du/dx=d/dx[a*u^(-1/2)*du/dx]-n*u^(3/2)*(u-c)/b boundry conditions are: u(0)=b+c...
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