1.

The general solution of the DE ` (dy)/(dx) + y tanx = sec x ` isA. ` y = sin x -C cos x `B. `y = sin x + C cos x `C. `y = cos x - C sin x `D. none of these

Answer» Correct Answer - B
Given DE is linear
`IF = e ^( int tan x dx ) = e ^( log (sec x)) = sec x `
`therefore ` its solution is
`y (sec x ) = int sec ^(2) x dx rArr y ( secx ) = tan x + C rArr y = sin x + C cos x `.


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