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Differential EquationsEasyExact Equations & Substitutions

Exact Equations & Substitutions · Easy problem

The equation ycos⁡x dx+sin⁡x dy=0y\cos x\,dx + \sin x\,dy = 0 is exact. Find the value of yy at x=π6x = \dfrac{\pi}{6} on the solution curve through (π2,3)\left(\dfrac{\pi}{2}, 3\right).