Please solve RD Sharma class 12 chapter 21 Differential Equation exercise Fill in the blank question 25 maths textbook solution
Answer:
Integrating factor = x2 + 1
Hint:
we will use the linear differential equation to solve the problem.
Given:
The integrating factor of all differential equation
is _________
Dividing the given equation both sides by x2 +1
Solution:
Dividing the L.H.S by (x2 + 1) we get,
Clearly, the equation (i) is of the form
Comparing (i) and (ii) we get,
So,
Now Put x2 +1 = t ⇒2x dx =dt
So, the answer is x2 +1