AP Calculus AB / Differential Equations / Question No. 4

4. If \[ \frac{dy}{dx} = \frac{x + \sec^2 x}{y} \quad \text{and} \quad y(0) = 2, \] then \( y = \)

\( \sqrt{x^2 + 2\sec x + 2} \)

\( \sqrt{x^2 + 2\tan x + 4} \)

\( \sqrt{x^2 + \sec^2 x + 2} \)

\( \sqrt{x^2 + \tan^2 x + 4} \)

Answer is: option2

\( \sqrt{x^2 + 2\tan x + 4} \)

Solution:

\( \sqrt{x^2 + 2\tan x + 4} \)

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Home Practice Questions AP Calculus AB Differential Equations Question No. 4