# 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.