please give me answer in 10 min I will rate for sure

(1). In the first class, we derived the governing equation for the 1D bar assuming the Young's Modulus E and area A were constant, i.e., du EA da2 = -P(x). . Derive the governing equation for the displacement u(x) of the bar assuming E = E(x) This and A = A(x) can change with position. Hint: the answer is not E(x) A(x) = -p(x). Recall the force balance equation from lecture. question Label D(x) = E(x)A(r). Suppose we fix the bar at one end so that u(0) = 0, we displace that bar at the other end so that u(L) = Au, but we otherwise do not apply any loading (i.e,. p(x) = 0). . How should we design D(x) so that, for a given end displacement Au, the displacement profile in the entire bar is sin u(x) =un re (0, L)? (1) . Are there any constraints that need to be imposed to have your design be physical? Hint: D(x) is the product of "area" and "stiffness". There is no such thing as non-positive area or negative stiffness