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
Posted: Mon May 09, 2022 10:40 am
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.
Posted: Mon May 09, 2022 10:40 am
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.