Complex Variables and Partial Differential Equations (3130005)

BE | Semester-3   Summer-2020 | 27-10-2020

Q4) (c ( ii ))

Find the complete integral of p2 = qz.

p2 = qz
 
Taking, q = pa -----1
 
So, p2 = paz  p = az   &   q = a2z  by  1.
 
Solution: dz = p dx + q dy
 
dz = az dx + a2z dy
 
1zdz = a dx + a2 dy   1z dz =  a dx +  a2 dy
 
log z = ax + a2y + b