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Question
The general solution of the differential equation `"dy"/"dx" + y sec x` = tan x is y(secx – tanx) = secx – tanx + x + k.
Options
True
False
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Solution
This statement is False.
Explanation:
Since I.F. = `"e"^(int sec x"d"x)`
= `"e"^(log(secx + tanx)`
= secx + tanx
The solution is, y(secx + tanx) = `int (secx + tanx)tan x"d"x`
= `int(secx tanx + sec^2x - 1)"d"x`
= secx + tanx – x + k
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