RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Solve the following differential equations :

Question 1.
x2 ydx – (x3 + y3) dy = 0
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 2.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 3.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 4.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 5.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
So f(x,y) is homogeneous function.
∴ Given equation is homogeneous
Now y = vx …..(2)
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 6.
(x2 +y2) dx = 2xydy
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 7.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
Thus f (x, y) is homogeonous function.
∴ Given differential equation is homogeneous
Putting x = vy …..(2)
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 8.
(3xy + y2) dx + (x2 + xy) dy = 0
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 9.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

Question 10.
x (x-y) dy = y(x+y) dx
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.6

RBSE Solutions for Class 12 Maths