nonlinear equations

[Gal]

Hello
I don't know how to solve a second differential equation looks like this:
dL/dt + L(t) =- L(t)+Z(t)*{const-L(t)-Q(t)}/Q(t)
dQ/dt= {(- L(t))*(- L(t)+const))}/-Q(t)
dZ/dt= {(- L(t))*(- L(t)+const))}/-Q(t)

Any help will be awesome!

 

[Ishuda]

Hello
I don't know how to solve a second differential equation looks like this:
dL/dt + L(t) =- L(t)+Z(t)*{const-L(t)-Q(t)}/Q(t)
dQ/dt= {(- L(t))*(- L(t)+const))}/-Q(t)
dZ/dt= {(- L(t))*(- L(t)+const))}/-Q(t)

Any help will be awesome!

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting


Letting a prime mean derivative wrt t, i.e. L' = dL/dt, supressing the explicit dependence on t for L, Q, and Z, and letting a be the constant, I believe the equations can be re-written as

Q L' = -2 L Q + Z (a - L - Q)
Q Q' = L (a - L)
Q Z' = L (a - L)

The last two equations give
Z = Q + b
where b is a constant

Thus one can see that if all of those constants are the same the problem is greatly simplified. Are they? Or are they meant to be different constants (which might just happen to be the same but normally are not)?

 

[Gal]

i'm student of engineering and this equations describes the behavior of limited current capacitor balancer.
the equations are describes the following way
Q,Z,W are time dependent and a is constant:
l*Q'=2(a)Q+Z(a -2*Q -W)
c*W'*W=-2(a-Q)
c*Z*W=Q(2*Q+W-2a)
need to solve this equations, what is the recommended way?