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) \(\frac { dy }{ dx } \) = 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:

RBSE Solutions for Class 12 Maths