complete integral by Charpits method

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hello guys
in this video we see how to find out the complete integral of first order pde by charpits method

step i ) first we write in standard form i.e. f(x,y,z,p,q)=0
step ii) Find all its partial derivative
Fx , Fy, Fz, Fp, Fq
step iii) put these values in Charpits Auxiliary Equation ( mention in video)

step iv) take any two ratios solve it u get sol in one parameter.
Step v) obtain the value of p and q with the help of eq 1 (step i)
p is a function of x,y,z and q is also a function of x,y,z
step vi) put the value of p and q in dz = pdx+qdy and solve it
u get the answer in two parameters

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