Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 8 of Exercise 9.6

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8

For each of the differential equations given in question, find the general solution:

(1 + x2)dy + 2xy dx = cot x dx (x ≠ 0)

It is given that


This is equation in the form of (where, p = and Q = )


Now, I.F. =


Thus, the solution of the given differential equation is given by the relation:


y(I.F.) =





Therefore, the required general solution of the given differential equation is



8

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