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Consider the differential equation given below:

The integrating factor of the differential equation is:
  • a)
    (1 - x2)-1/4
  • b)
    (1 - x2)-1/2
  • c)
    (1 - x2​)-3/4
  • d)
    (1 - x2​)-3/2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the differential equation given below:The integrating factor ...

The solution of a linear differential equation of a general form shown above is:
y(I.F) = ∫Q(x) (IF) dx + C
Where:
IF = Integrating factor calculated as:
I.F = e∫Pdx
Calculation:
Given:

The above differential equation is not in a general form. Converting it first in the general form of a linear differential equation, we divide the equation by √y to get:

Let √y = u


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Consider the differential equation given below:The integrating factor of the differential equation is:a)(1 - x2)-1/4b)(1 - x2)-1/2c)(1 - x2)-3/4d)(1 - x2)-3/2Correct answer is option 'A'. Can you explain this answer?
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