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

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.
(e^y + 1) cos x dx + e^y sin x dy = 0.
Solution:
Given equation is

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

Question 3.
(x + 1) dydx = 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: