In the basic Lanchester model (12.26), assume the two forces are of equal effectiveness, so a=b. The Y force initially has 50,000 soldiers. There are two geographically separate units of 40,000 and 30,000 soldiers that make up the X force. Use the basic model and result (12.20) to show that if the commander of the Y force fights each of the X units separately, he can bring about a draw.

Equation 12.26

Equation 12.20

dx dt dy dt = -ay -bx (12.26)