Engineering Mathematics, Volume 2

EXERCISE 10.5

1. q² = e^{−p /α}.

   Ans: z = ax + e^−a/2a y + c

2. p + q = pq.

   Ans:

3. p² + q² = 1.

   [Osmania 2000]

   Ans:

    

4. x²p² + y²q² = z.

   [Osmania 2000 s, Madras 1998]

    

   

    

   Ans:

5. z = pq.

   Ans: (x + ay + c)² = 4az

6. zq = p².

   Ans: z = ce^ax + a²y

7. p(1 + q)qz.

   [Kerala 1990 S, Punjab 1986]

   Ans: log (az − 1) = (x + ay + c)

8. z = p² + q².

   [Calicut 1994, Andhra 1990, Madurai ...