If y = y(x) is the solution curve of the differential equation dy/dx + y tan x = x sec x, 0 ≤ x ≤ π/3 and y(0)…

Question

If $$y = y(x)$$ is the solution curve of the differential equation $$\frac{dy}{dx} + y 	an x = x \sec x, \quad 0 \leq x \leq \frac{\pi}{3}$$ and $$y(0) = 1$$, then $$y \left( \frac{\pi}{6} ight)$$ is equal to:

Accepted Answer

D. $$\frac{\pi}{12} - \frac{\sqrt{3}}{2} \log_e \left( \frac{2}{e\sqrt{3}} \right)$$

Answer

A. $$\frac{\pi}{12} + \frac{\sqrt{3}}{2} \log_e \left( \frac{2}{e\sqrt{3}} \right)$$

Answer

B. $$\frac{\pi}{12} + \frac{\sqrt{3}}{2} \log_e \left( \frac{2\sqrt{3}}{e} \right)$$

Answer

C. $$\frac{\pi}{12} - \frac{\sqrt{3}}{2} \log_e \left( \frac{2\sqrt{3}}{e} \right)$$

Answer & step-by-step solution

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