# Help with nonlinear differntial equations !!!

• May 25th 2009, 11:07 AM
orion8406
Help with nonlinear differntial equations !!!
Hi (Wink), i am new at this forum, i have a doubt about non linear differential equations systems; i´ve 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 couldn´t fine one, i hope anybody can help me, or can recomend a good book, please!
• May 25th 2009, 11:11 AM
orion8406
help with non linear differential equations !
Hi (Wink), i am new at this forum, i have a doubt about non linear differential equations systems; i´ve 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 couldn´t 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)
• May 25th 2009, 01:42 PM
Jester
Quote:

Originally Posted by orion8406
Hi (Wink), i am new at this forum, i have a doubt about non linear differential equations systems; i´ve 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 couldn´t 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

$\frac{dq_1}{dt} = e^{-(c+p_1+q_2)}$?
• May 25th 2009, 04:04 PM
orion8406
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)