# 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:

Solution:

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

Solution:

Question 3.
Prove that y = $$\frac { c-x }{ 1+cx }$$ is the solution of (1 + x2) $$\frac { dy }{ dx }$$ + (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: