JEE Main 202429 Jan, Evening shiftMathematicsMediumDifferential Equations163× since 2002If sin(yx)=loge∣x∣+α2\sin \left(\frac{y}{x}\right)=\log _e|x|+\frac{\alpha}{2}sin(xy)=loge∣x∣+2α is the solution of the differential equation xcos(yx)dydx=ycos(yx)+xx \cos \left(\frac{y}{x}\right) \frac{d y}{d x}=y \cos \left(\frac{y}{x}\right)+xxcos(xy)dxdy=ycos(xy)+x and y(1)=π3y(1)=\frac{\pi}{3}y(1)=3π, then α2\alpha^2α2 is equal toAOption A. 12BOption B. 9COption C. 4DOption D. 3CheckSkip · show solution
