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Unformatted text preview: (X3) Find all diﬀerentiable functions f ( x ) satisfying the functional equation f ( x + y ) ≡ f ( x ) + f ( y ) 1-f ( x ) f ( y ) on some interval containing zero. III. Method of linearization (X4) Let ϕ ± ( t ) denote the solution of the initial value problem ˙ x = x + ± ( t + x 2 ) , x (0) = cos ±. Find approximately the value of ϕ ± (1) for small ± . 1...
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This note was uploaded on 11/19/2010 for the course ANTH 122 taught by Professor 323 during the Spring '10 term at Centennial College.
- Spring '10