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RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

May 23, 2019 by Fazal Leave a Comment

Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Find the differential equation of the following groups :

Question 1.
y = ax + \(\frac { b }{ x } \)
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 2.
x2 + y2 = a2.
Solution:
Differentiating given equation w.r.t. x, we get

RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 3.
y = Ae3x + Be5x.
Solution:
y = Ae3x + Be5x
Differentiating w.r.t. x, we get
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 4.
y = ex [a cos x + B sin x] …..(1)
Solution:

RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 5.
y = a cos (x + b), where ‘a’ and ‘b’ are arbitrary constant.
Solution:
y = a cos (x + b)
Differentiating w.r.t. x,
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

RBSE Solutions for Class 12 Maths

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