For each of the differential equations given in question, find the general solution:
(1 + x²)dy + 2xy dx = cot x dx (x ≠ 0)

Question

For each of the differential equations given in question, find the general solution: (1 + x 2 )dy + 2xy dx = cot x dx (x ≠ 0)

Philoid · Accepted Answer

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

For each of the differential equations given in question, find the general solution:(1 + x2)dy + 2xy dx = cot x dx (x ≠ 0)