Integrating Factors For Exact Equations
 
 

Definition: A function u(x , y) is an integrating factor for the differential equation

M(x ,y)dx+N(x ,y)dy=0, if the equation obtained by multiplying by u(x , y)

u(x , y) M(x ,y)+u(x , y)N(x , y)=0, is exact.

If (My – Nx )/N=Q(x) is a function of x only, then


Assignment:   sec 1.14 problems 1, 3, 5