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 + be^x 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:

RBSE Solutions for Class 12 Maths