Integrating factor of the differential equation dy/dx + y = 1+y/x is:

Question

Integrating factor of the differential equation \(\frac{dy}{dx}\) + y = \(\frac{1+y}{x} \) is:

(a) e^x

(b) xe^x

(c) \(\frac{e^x}{x}\)

(d) \(\frac{x}{e^x}\)

Answer 1

Correct option is (c) \(\frac{e^x}{x}\)