Original equation becomes y-2y'+4xy-1=x³. Substitution v=y-1 gives -v'+4xv=x³. Solution v(x)=cx⁴-x⁴lnx for x>0
Cube can be solved using different methods for beginners and speedcubers. Basic cube notation: F (front), R (right), U (up), L (left), D (down). Video tutorial available for better understanding
Hungarian invention by Sebestény Péter, can be used as 2x2x2 or 3x3x3. Contains 24 edges, 24 centers and 8 corner fields. About 7.4×1045 possible permutations. Center pieces held together by hidden center
Rule 16 requires a password to include the best move in algebraic chess notation. This is the most complicated rule in the game
Rw notation indicates wide turns of two layers on 5x5 cube. Cube has three types of center pieces: middle, corner, and edge. Fixed center pieces determine final color of each side
Find indices of two numbers in an array that sum to a target. Each input has exactly one solution. Elements cannot be used twice. Answers can be returned in any order