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Linear Integral Equations practice

practice · no clock1 / 6
Q1Part B+3 / −0.75

For the unknown y:[0,1]→Ry : [0,1] \to \mathbb{R}, consider the boundary value problem y″(x) + 2y(x) = 0 for x ∈ (0,1), y(0) = y(1) = 0. It is given that it corresponds to the integral equation y(x)=2∫01K(x,t)y(t)y(x) = 2\int_{0}^{1} K(x, t) y(t) dt. Which of the following is the kernel K(x, t)?

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