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

May 23, 2019 by Fazal Leave a Comment

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.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
The highest derivative of y =
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Thus, order = 2, degree = 2.

Question 4.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1

Question 5.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1

Question 6.
xdx + ydy = 0
Solution:
x dx + y dy = 0
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Thus, order = 1, degree = 1.

Question 7.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1

Question 8.
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.1
Thus, order = 1 degree = 2.

RBSE Solutions for Class 12 Maths

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