Let G be the set of all real functions f(x) each of which is analytic in the interval [0,1] and satisfies the conditions: f(0)+a*f'(0)=0; f(1)+b*f'(1)=0, where (a,b) is a pair of real numbers from the set D={(a,b) in R^2: 1+b-a!=0 (is not equal to zero)}. Prove that the set G is a linear vector space. How to find a basis in the vector space?(adsbygoogle = window.adsbygoogle || []).push({});

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# Prove that G is a linear vector space

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