Mathematics · Integral Equations
Consider the Fredholm linear integral equation: u(x) = f(x) + 2π∫0π sin(x - t)u(t)dt. This equation:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1has a unique solution for any continuous function f✓
- 2has a unique solution for any f such that ∫0π f(x)dx = 0
- 3has a unique solution if ∫0π f(x)(cos x + sin x)dx = 0
- 4has a unique solution if ∫0π f(x)(cos x - sin x)dx = 0
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has a unique solution for any continuous function f
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