Question

4)Find the complete integral of xp+3yq=2(z-x²q²)

Answer 1

Solution

 We have;

Hence;

Thus, the Charpit's auxiliary equations are;

 

Therefore;

which yields qx = a (constant). Putting this value of q in the given equation, we have

Therefore, dz = p dx + q dy gives;

On integrating, we have the required solution as;

a and b are constants