Recent content by nitin7785

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    Analytical solution of nonlinear ordinary differential equation

    Thanks for your answer. W is between 0 and 1. γ is between 0 to ∞. Initial conditions are close to zero but cannot be zero. It will be very kind of you if you can elaborate on your answer. Thanks, nitin
  2. N

    Analytical solution of nonlinear ordinary differential equation

    Dear All, I have following first order nonlinear ordinary differential and i was wondering if you can suggest some method by which either i can get an exact solution or approaximate and converging perturbative solution. \frac{dx}{dt} = 2Wx + 2xy - 4x^{3}\frac{dy}{dt} = \gamma \, (x^{2} -...
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    How to manipulate limits in this integral

    Thank you Chestermiller for providing alternative way of solving my problem.
  4. N

    How to manipulate limits in this integral

    Thanks a lot for your answer.
  5. N

    How to manipulate limits in this integral

    hi all, I have following integral and i was wondering if i can manipulate limits to simplify it. ∫^{t}_{0} P(τ) exp( - a ∫^{t}_{τ} P(u) du) dτ I know that the answer is \frac{1}{a} - \frac{1}{a} exp( - a ∫^{t}_{0} P(t) dt) But don't know how to get there. Thanks in advance.
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