Question

find the complete integral of √p+√q=1​

Answer 1

Answer:

Given The complete integral of partial differential equations √p+√q=1 is

Let f(p.q) = √p + √q – 1 = 0 ------------------1

Now let the complete integral of equation 1 be  

     So p = ax + by + c ------------------2

Now f (a,b) = √a + √b – 1 = 0

     So √b = 1 - √a

     Or b = (1 - √a)^2

So the required complete integral is given by

       So p = ax + (1 - √a)^2y + c