Answer to Question #218462 in Calculus for Unknown346307

Question

Find the complete integral of the partial differential

equation pq = 2

Answer 1

We have $F(p,q)=pq-2.$

Let the complete integral is given by 

$$z=ax+by+c$$

where

$$F[a,b]=ab-2=0$$

Solve for $b$

$$b=\dfrac{2}{a}$$

The complete integral of the of the partial differential equation $pq = 2$ is

$$z=ax+\dfrac{2}{a}y+c$$