Question

The solution of \( \frac{dy}{dx} + y \tan x = \sec x \), given \( y(0) = 0 \), is:

• A. \( y \sec x = \tan x \)
• B. \( y \tan x = \sec x \)
• C. \( \tan x = y \tan x \)
• D. \( x \sec x = \tan y \)
• E. \( y \cot x = \sec x \)

Hint:

Remember that \( \int \tan x \, dx = \ln|\sec x| \). This is a very common Integrating Factor step in calculus exams.

Answer 1

The Correct Option is A