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The general solution of the differential equation dydxdydx+ysecx = tan x is y(secx – tanx) = secx – tanx + x + k. - Mathematics

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प्रश्न

The general solution of the differential equation `"dy"/"dx" + y sec x` = tan x is y(secx – tanx) = secx – tanx + x + k.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

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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अध्याय 9: Differential Equations - Solved Examples [पृष्ठ १९१]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 9 Differential Equations
Solved Examples | Q 23. (viii) | पृष्ठ १९१

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