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Question
The integrating factor of `(dy)/(dx) + y` = e–x is ______.
Options
x
–x
ex
e–x
Solution
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)` = ex
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