Recent content by quacam09

  1. Q

    A system of 1st order nonlinear differential equations

    Thanks EnumaElish. Is an analytical solution impossible? If there is a method to obtain an analytical solution, can you suggest me?
  2. Q

    A system of 1st order nonlinear differential equations

    Thanks for your help and sorry for unclear things. u^2 is a cross product. It means \[ u^2 (t) = \left[ {\begin{array}{*{20}c} {x_1^2 (t)} \\ {x_2^2 (t)} \\ \end{array}} \right] \\ \] And C(t) C(t) =...
  3. Q

    A system of 1st order nonlinear differential equations

    Hello, Can you give some suggestions to solve the following system of 1st order nonlinear differential equations? Thank you. \[ \begin{array}{l} u'(t) = Au^2 (t) + B(t)u + C(t) \\ u(t) = \left[ {\begin{array}{*{20}c} {x_1 (t)} \\ {x_2 (t)} \\ \end{array}} \right] \\ A = \left[...
  4. Q

    How can I solve inequations with logarithms?

    Thank you for your response. Are there any method to solve approximately it? Can you give me a suggestion?
  5. Q

    How can I solve inequations with logarithms?

    Hi all, Do you know how to solve the following inequations? \ln \left( {\frac{{x + a}} {{x + b}}} \right) \leq cx + d \ln \left( {\frac{{x + a}} {{x + b}}} \right) \geq \frac{{x^3 + cx^2 + dx + e}} {{ux^2 + vx}} a, b, c, d, e, u, v are constants. x is a variable. Can you suggest...
  6. Q

    Question about probability and poisson process

    Thank you. As your suggestion, I found the solution.
  7. Q

    Question about probability and poisson process

    Hi all, I have a question about probability. Can you help me? There are 2 events: - Customer A arrives the system B in accordance with a Poisson process with rate Lambda1 - Customer A arrives the system C in accordance with a Poisson process with rate Lambda2. Given that Poisson...
  8. Q

    A problem related to Poisson process

    OK. Thank you for your help!
  9. Q

    A problem related to Poisson process

    Sorry, "At least one customer" mean we can have one, two, ...or N customer arrive by time t. N processes are mutually independent and homogeneous Poisson processes with rate Lamda. So at time t, we can have two customers arriving.
  10. Q

    A problem related to Poisson process

    Thank you for your response! Can you explain your idea in detail? Is the following solution correct? Consider the queueing system, there are n customers 1, 2, ...N. Customer 1 arrives in accordance with a Poisson process with rate Lamda, customer 2 arrives in accordance with a Poisson...
  11. Q

    A problem related to Poisson process

    Hi all, I have a probability problem. Can you help me? Thank you! Here is the problem: Consider the queueing system, there are n customers 1, 2, ...N. Customer 1 arrives in accordance with a Poisson process with rate Lamda, customer 2 arrives in accordance with a Poisson process with rate...
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