Can you please walk me through the problem:

Consider a conflict between two armies ofxandysoldiers, respectively. During World War I, F. W. Lanchester assumed that if both armies are fighting a conventional battle within sight of one another, the rate at which soldiers in one army are put out of action (killed or wounded) is proportional to the amount of fire the other army can concentrate on them, which is in turn proportional to the number of soldiers in the opposing army. Thus Lanchester assumed that if there are no reinforcements andtrepresents time since the start of the battle, thenxandyobey the differential equations

(dx/dt)=ay, and (dy/dt)=bx

whereaandbare positive constants.

Suppose thata=0.05andb=0.01, and that the armies start withx(0)=59andy(0)=21thousand soldiers. (Use units of thousands of soldiers for bothxandy.)

(a)Rewrite the system of equations as an equation foryas a function ofx: (dy/dx)=?

(b)Solve the differential equation you obtained in (a) to show that the equation of the phase trajectory is0.05y^20.01x^2=C, for some constantC. This equation is calledLanchester's square law. Given the initial conditionsx(0)=59andy(0)=21, what isC? C=?

Pleas include the steps