Question

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

Answer 1

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