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:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solution:

Question 5.

Solution:

So f(x,y) is homogeneous function.
∴ Given equation is homogeneous
Now y = vx …..(2)

Question 6.
(x² +y²) dx = 2xydy
Solution:

Question 7.

Solution:

Thus f (x, y) is homogeonous function.
∴ Given differential equation is homogeneous
Putting x = vy …..(2)

Question 8.
(3xy + y²) dx + (x² + xy) dy = 0
Solution:

Question 9.

Solution:

Question 10.
x (x-y) dy = y(x+y) dx
Solution:

RBSE Solutions for Class 12 Maths