Question

find integrating factor​

Answer 1

Answer:

The given linear differential equation can be supposed to be one in y.

So, the given equation is

dy/dx - (x/1+x^2)y = 0

Now,

the Integrating factor of this equation is

e^ integral of -x/1+x^2 dx

= e^ -1/2 ln(1+x^2)

= 1/√1+x^2

So, 1/√1+x^2 will be the integrating factor of this equation and consequently the solution this differential equation will be

y*1/√1+x^2 = constant

or,

y = C √1+x^2

Hope this helps you !