Please answer the questions below and provide an explanation for you answers.

Question 1 1 pts Let S = Ecos(W1). If we let $u$ be the solution of one of the following PDE, we have u(0, 0) = $. What is the PDE? O 20 LOL,z, u + cos(x) = 0; u(1, x) = 1 O 10/ H orzu = 0; u(1, x) = cos(2) O N/ H I'MS 2 x, u + cos(u) = 0; u(1, x) = 0 O other O out cos(x) = 0; u(1,x) = 0Question 2 1 pts Let S = E Widt . If we let $u$ be the solution of one of the following PDE, we have $u(0,0)=\\xi$. What is the PDE? O 20 Ozz, u + cos(x) = 0; u(1, x) = cos(x)da O other O N/ H Or xu =0; u(1, x) = cos(x)dx i= 1 O Out - ) 3 x, u + cos(2) = 0; u(1, x) = 0 O N/ H Ozz, u = 0; u(1, x) = cos(x)