Question

complete integral of the equation z=px +qy - 2√pq is​

Answer 1

Step-by-step explanation:

Attempt:

The given equation is : f(x,y,z,p,q)=px+qy+pq−z. So, Charpit's auxiliary equations are given by:

ds=dp0=dq0=dzz+pq=dxx+q=dyy+p

Now, from

ds=dp0,ds=dq0⟹p=C,q=D

being arbitray constants. Now, I have to use

dz=pdx+qdy=Cdx+Ddy

we get

z(x,y)=Cx+Dy+E

Answer 2

Answer:

Step-by-step explanation: