Substitute f(x) = x^2 + a x + b into the integral equation

来源: BeLe 于 2022-01-20 07:26:40 [] [博客] [旧帖] [给我悄悄话] 本文已被阅读： 次 (391 bytes)
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Substitute f(x) = x^2 + a x + b into the integral equation and compare the coefficients.

Then we obtain two linear equations in a and b:

a + b = - 2/3

3a + 2b = - 8/3

which yield a = - 4/3 and b = 2/3.


Answer:  f(x) = x^2 - (4/3) x + 2/3.

 

 

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