## Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.9

**Solve the following differential equations :**

Question 1.

\(\frac { dy }{ dx } \) + xy = x^{3}y^{3}.

Solution:

Question 2.

\(\frac { dy }{ dx } \) = e^{x-y} (e^{x} – e^{y})

Solution:

Question 3.

\(\frac { dy }{ dx } \) – y tan x = – y^{2} sec x

Solution:

Question 4.

tan x cos y \(\frac { dy }{ dx } \) + sin y + e^{sin x} = 0

Solution:

Question 5.

\(\frac { dy }{ dx } \) + x sin 2y = x^{3} cos^{2} y

Solution:

Question 6.

Solution:

Question 7.

Solution: