Question

The integrating factor of `(dy)/(dx) + y` = e^–x is ______.

Options

• x

• –x

• e^x

• e^–x

Answer 1

The integrating factor of `(dy)/(dx) + y` = e^–x is `bb(underline(e^x))`.

Explanation

`(dy)/(dx) + y` = e^–x

The given equation is of the form `(dy)/(dx) + py` = Q

Where, P = 1 and Q = e^–x

∴ I.F. = `e^(int^(pdx)` = `e^(int^(1dx)` = e^x