Single Independent Variable Integrating Factor Consider the Pfaff differential dZi=12Zi(z1,z2)dzi where Z1:RRZ1:(z1,z2)Z1(z1,z2)3z1z2z22,Z2:RRZ2:(z1,z2)Z2(z1,z2)z12z1z2 Problem 3 Tasks a. Show that the Pfaff differential dZ is not an exact differential. b. Pfaff differentials dZ of the form Z1(z1,z2)dz1+Z2(z1,z2)dz2 can often be made into exact differentials, and hence be used to solve differential equations using integration, through multiplication by some function called an integrating factor. Use criterion a or criterion c of theorem 39 in the handout to determine an integrating factor :RR of only one independent variable for the above defined Pfaff differential. c. Solve, using an integrating factor approach, the differential equation: (3z1z2z22)dz1+(z12z1z2)dz2=0