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Question 195 of 490MediumNUMERICAL
Let y=y(x)y=y(x) solve sin⁡(2x2)log⁡e(tan⁡x2)…\sin(2x^2)\log_e\left(\tan\dfrac{x^2}{}\right)\dots (schematic) dy+4xy−42xsin⁡(x2−π4)dx=0dy+4xy-4\sqrt{2}x\sin\left(x^2-\dfrac{\pi}{4}\right)dx=0, 0<x<π20<x<\dfrac{\pi}{2}, through (π6,1)\left(\dfrac{\pi}{6},1\right). Then y(π3)y\left(\dfrac{\pi}{3}\right) is \_\_\_\_\_\_. Answer: 1
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