Give the integral equation 1 y(x) = ex + 2 5. K(x, t)y(t)dt, x € (0,1) where 1€ R (1) = 1 sinhxsinh(t – 1), 0

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Give The Integral Equation 1 Y X Ex 2 5 K X T Y T Dt X 0 1 Where 1 R 1 1 Sinhxsinh T 1 0 Xst Sinh 1 (122.46 KiB) Viewed 21 times

Give the integral equation 1 y(x) = ex + 2 5. K(x, t)y(t)dt, x € (0,1) where 1€ R (1) = 1 sinhxsinh(t – 1), 0 <xst, sinh1 K(x,t) 1 sinhtsinh(x - 1), t < x < 1. sinh1 a) Find the characteristic values and the normalized eigenfunctions of (1) b) Examine for which values of the parameter 1e R, the (1) is impossible, or has unique solution, or infinite solutions and, where possible, to solve it.