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Math Help - Help with nonlinear differntial equations !!!

  1. #1
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    Help with nonlinear differntial equations !!!

    Hi , i am new at this forum, i have a doubt about non linear differential equations systems; iīve been searching on some books about the solution of these systems, i wanted to know if there is some method which i can determinate the kind of system (damped, overdamped ...) and the response time, i couldnīt fine one, i hope anybody can help me, or can recomend a good book, please!
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  2. #2
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    help with non linear differential equations !

    Hi , i am new at this forum, i have a doubt about non linear differential equations systems; iīve been searching on some books about the solution of these systems, i wanted to know if there is some method which i can determinate the kind of system (damped, overdamped ...) and the response time, i couldnīt fine one, i hope anybody can help me, or can recomend a good book, please! the system is this:
    dp1/dt = exp-(c + p1 + q1)
    dp2/dt = exp-(c + p2 + q1)
    dq1/dt = exp-(c + p1 + q1)
    dq2/dt = exp-(c + p2 + q2)
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  3. #3
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    Quote Originally Posted by orion8406 View Post
    Hi , i am new at this forum, i have a doubt about non linear differential equations systems; iīve been searching on some books about the solution of these systems, i wanted to know if there is some method which i can determinate the kind of system (damped, overdamped ...) and the response time, i couldnīt fine one, i hope anybody can help me, or can recomend a good book, please! the system is this:
    dp1/dt = exp-(c + p1 + q1)
    dp2/dt = exp-(c + p2 + q1)
    dq1/dt = exp-(c + p1 + q1)
    dq2/dt = exp-(c + p2 + q2)
    Something doesn't look right here. Is the third equation

    \frac{dq_1}{dt} = e^{-(c+p_1+q_2)} ?
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  4. #4
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    Yeah, i am sorry, i had a mistake, the equations are:

    dp1/dt = -exp(c+q1+p1)
    dp2/dt = -exp(c+q2+p2)
    dq1/dt = -exp(c+q1+p2)
    dq2/dt = -exp(c+q2+p1)
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