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.
= sin 2x + cos 2x
Solution:
= sin 2x + cos 2x
The highest derivative of y = = (
)1
Thus, order = 1, degree = 1.
Question 2.
= sin x + cos x
Solution:
= sin x + cos x
The highest derivative of y = = (
)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.
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