Q87·Section II (Mathematics)·87 of 190Building up the iterated kernel for k(t,s)=et−sk(t,s)=e^{t-s}k(t,s)=et−sIterated kernel Km(t,s)K_m(t,s)Km(t,s) of the integral equation u(t)=1+λ∫0tet−su(s)dsu(t)=1+\lambda\int_0^te^{t-s}u(s)dsu(t)=1+λ∫0tet−su(s)ds is: OptionsA(t−s)m−1/(m−1)!(t-s)^{m-1}/(m-1)!(t−s)m−1/(m−1)!Bet−s/(m−1)!e^{t-s}/(m-1)!et−s/(m−1)!C(t−s)m−1(m−1)!et−s\dfrac{(t-s)^{m-1}}{(m-1)!}e^{t-s}(m−1)!(t−s)m−1et−sD(t−s)et−s(t-s)e^{t-s}(t−s)et−sPick an option to check your answer.Show answerShow solution Report a problem with this question← Q86All questionsQ88 →Keyboard: A–D answer · S solution · ←/→ previous/next