## Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.5

**Solve the following differential equations :**

Question 1.

(x + y)^{2} \(\frac { dy }{ dx } \) = a^{2}

Solution:

Given equation

Question 2.

\(\frac { dy }{ dx } \) = \(\frac { 1 }{ x+y+1 } \)

Solution:

Question 3.

cos (x + y) dy = dx

Solution:

Question 4.

e^{x+y} = 1 + \(\frac { dy }{ dx } \)

Solution:

Question 5.

(x + y) (dx – dy) = dx + dy

Solution:

Question 6.

Solution:

Question 7.

x+ +y = sin^{-1} (\(\frac { dy }{ dx } \))

Solution:

Question 8.

\(\frac { dy }{ dx } \) = \(\frac { 1 }{ x-y } \) + 1

Solution:

Question 9.

\(\frac { dy }{ dx } \) = sec (x + y)

Solution:

Question 10.

Solution: