The solution of the differential equation `(dy)/(dx)-y tan x=e^(x)sec x` isA. `y= e^(x) cos x +C`B. `y cos x =e^(x) +C`C. ` y = e^(x) sin x +C`D. `y sin x = e^(x) +C`

The solution of the differential equation `(dy)/(dx)-y tan x=e^(x)sec

1.	The solution of the differential equation `(dy)/(dx)-y tan x=e^(x)sec x` isA. `y= e^(x) cos x +C`B. `y cos x =e^(x) +C`C. ` y = e^(x) sin x +C`D. `y sin x = e^(x) +C`
Answer» Correct Answer - b Given , ` (dy)/(dx) - y tan x = e^(x) sec x ` ` :. IF = e^(- int tan x dx ) = e^(-logsec x)=1/(secx)` ` :. ` General solution is ` rArr y * 1/(sec x) = int e^(x) sec x * 1/(sec x) dx` ` rArr y cos x = e^(x) + C`

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The solution of the differential equation `(dy)/(dx)-y tan x=e^(x)sec x` isA. `y= e^(x) cos x +C`B. `y cos x =e^(x) +C`C. ` y = e^(x) sin x +C`D. `y sin x = e^(x) +C`

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