DEQ
Multi: system of nonlinear ODEs
System of nonlinear ODEs, numerically
2025.Mar.09 14:27:42
Final t Final t (from 0).
Initial values Initial values (for t = 0).
Rates Rate constants.
Parameters Parameters (constant A).
Method        Method of integration.
Points N. of plot points.
Show values Show graph coordinates.

Solves the system of ODEs in Fig. 1.

ODEs Fig. 1

It can be shown that: (x, y, z) ≡ (X, Y, Z) = (A k1 k3 ⁄ (k2 k4), k4k3, A k1k4); and (k2, k3, k4) = A k1 (1 ⁄ (X Y), 1 ⁄ (Y Z), 1 ⁄ Z).

Shows the graphical result.

References: Plate: NonlinearODE

• Walker, L., 2001, Hmwk5 (Carnegie Mellon Univ.)

• 1735-02-28: Vandermonde, Alexandre-Théophile (†1796-01-01, 60 yrs.).

 
 
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Created: 2025-01-19 — Last modified: 2025-03-04