1.
If y^1/4 + y^-1/4 = 2x, and (x^2 - 1) (d^2y/dx^2) + αx (dy/dx) + βy = 0, then |α - β| is equal to <empty>.
If u = x y² tan⁻¹ ( y/x ), then x (du/dx) + y (du/dy) is equal to
If u = x y² tan⁻¹ ( y/x ), then x (du/dx) + y (du/dy) is equal to
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