## FANDOM

17 Pages

Given a system of first order linear differential equations

${x' = f(x,y), y' = g(x,y)}$

Solve one of the equations for x (or y) to get an equation of the form

${x = c_1y' + c_2y}$

Differentiate to get

${x' = c_1y'' + c_2y'}$.

and substitue these expressions into the other equation and solve using second order methods.