RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.7
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.7
Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.7
Solve the following differential equations :
Question 1.
Solution:
h and k are such that
3h + 2k – 5 = 0 and 2h + 3k – 5 = 0
Putting these values in equation
h = 1 ,k = 1
This is homogeneous equation
Question 2.
Solution:
Question 3.
(2x + y + 1) dx + (4x + 2y – 1) dy = 0
Solution:
(2x + y + 1) dx + (4x + 2y – 1) dy = 0
Question 4.
Solution:
∴ Integrating
x + C = – 2v – 2 log (1 – v)
or x + C + 2(x + y) + 2 log (1 – x – y) = 0
[∵ v = x + y]
or 3x + 2y + 2 log (1 – x – y) + C = 0,
This is required solution.
Question 5.
Solution: