Question: (a) If y = x 2 + 1/x 2 , find dy/dx and d 2 y/dx 2 . Hence show that (b) If x =

(a) If y = x2 + 1/x2, find dy/dx and d2y/dx2. Hence show that

dy .2 d.x dy + 4x + 2y = 12x dx

(b) If x = tan t and y = cot t, show that

dy d.x dy + 2y = 0 dx

dy .2 d.x dy + 4x + 2y = 12x dx

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