RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1

Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.1

Find the order and degree of the following differential equations :

Question 1.
\(\frac { dy }{ dx } \) = sin 2x + cos 2x
Solution:
\(\frac { dy }{ dx } \) = sin 2x + cos 2x
The highest derivative of y = \(\frac { dy }{ dx } \) = (\(\frac { { d }^{ 1 }y }{ { dx }^{ 1 } } \))1
Thus, order = 1, degree = 1.

Question 2.
\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \) = sin x + cos x
Solution:
\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \) = sin x + cos x
The highest derivative of y = \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \) = (\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \))1
Thus, order = 2, degree = 1.

Question 3.

Solution:

The highest derivative of y =

Thus, order = 2, degree = 2.

Question 4.

Solution:

Question 5.

Solution:

Question 6.
xdx + ydy = 0
Solution:
x dx + y dy = 0

Thus, order = 1, degree = 1.

Question 7.

Solution:

Question 8.

Solution:

Thus, order = 1 degree = 2.

RBSE Solutions for Class 12 Maths