# RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.4

## Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.4

Solve the following differential equations :

Question 1.
(ey + 1) cos x dx + ey sin x dy = 0.
Solution:
Given equation is

Question 2.
(1 + x2) dy = (1 + y2) dx.
Solution:
Given

Question 3.
(x + 1) $$\frac { dy }{ dx }$$ = 2xy
Solution:

Question 4.

Solution:

Question 5.
(sin x + cos x) dy + (cos x – sin x) dx = 0.
Solution:
Given (sin x + cos x) dy + (cos x – sin x) dx

Question 6.

Solution:

Question 7.
sec2 x tan y dy + sec2 y. tan x dx = 0.
Solution:
Given,

Question 8.

Solution:

Question 9.
(1 + cos x) dy = (1 – cosx) dx
Solution:

Question 10.

Solution: