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Question

Mathematics Question on General and Particular Solutions of a Differential Equation

Let y = y(x) be a solution of the differential equation (x cos x)dy +(xy sin x + y cos x – l)dx = 0, 0 < x < π2\frac{π}{2}. Ifπ3y(π3)=3\frac{π}{3}y(\frac{π}{3})=\sqrt3, then π6y(π6)+2y(π6)| \frac{π}{6 }y“( \frac{π}{6})+2 y'( \frac{π}{6})| is equal to______.

Answer

The correct answer is: 2