RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.3

RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.3

Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.3

Question 1.
Prove that y² = 4a (x + a) is the solution of:

Question 2.
Prove that y = ae^-2x + be^x is the solution:

Solution:

Question 3.
Prove that y = c−x/1+cx is the solution of (1 + x²) dy/dx + (1 + y²) = 0
Solution:

Question 4.
Prove that y = a cos (log x) + b sin (log x) is the solution of

Solution:
y = a cos (log x) + b sin (logx)
Differentiating w.r.t. x,

Question 5.
Prove that xy = log y + c is the solution of

Solution: