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Question
Integrating factor of the differential equation `x "dy"/"dx" - y` = sinx is ______.
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Solution
Integrating factor of the differential equation `x "dy"/"dx" - y` = sinx is `1/x`.
Explanation:
`1/x`; given differential equation can be written as `"dy"/"dx" - y/x = sinx/x`
And Therefore I.F. = `"e"^(int 1/x "d"x)`
= `"e"^(-logx)`
= `1/x`.
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