Eutectic fractional melting with linear

When all a = 0, then A = 0, and B = —Pq this differential equation (2.20) reduces to (2.12). When A O, the solutions to Eq. (2.20) have the three cases (Hertogen and Gijbels, 1976). After corrections of their Eq. (A-1) and Eq. (A-3) as suggested by Apted and Roy (1981), the solutions are given below. 

From section 1.4, the variation of a mineral phase during incongruent melting is described by the following relationship 

The solution to Eq. (2.31) with initial condition C° = Cg for the extracted melt is 

From section 1.4.2, the variation of the bulk partition coefficient is 

When A O, the solutions to Eq. (2.39) have the following three cases. If A = — 4ADq 0, then 

---