Question

Intergrating factor of the differential equation dx/dy+3x/y=1/y^2

Answer 1

Integrating factor : e^(3 log y)

Check the attached image.

Answer 2

Answer:

The correct answer is e^3logy

Step-by-step explanation:

Given: differential equation dx/dy+3x/y=1/y^2

To find: Intergrating factor of the given equation

dx/dy+3x/y=1/y^2

we know that linear differential equation is given as,

dx/dy + Px = Q

So, we get from the linear differential equation P=3/y

Intergrating factor is given as,

= e ^S P dy

= e ^S 3/y dy

After integrating we get,

= e^3logy