Confirm the following statements. (You must show your work!) 1) The function x-3x+3=C is an implicit, general solution to the differential equation 2) The function dx = t2 dt 1 x2 5 3 y(x) = = 17 sin(r) +17 cos(r) is a particular solution to the differential equation 3) The function dy dy 3- dx2 4y2sin(x) = 0 dx y(x) = Ae4x + Be-x 5 3 sin(x) + cos(x) 17 17 is a general solution to the differential equation 4) The function dy dy 3. 4y-2 sin(x) = 0 dx2 dx u(t) = etz e-82 ds+ et is a particular solution to the differential equation du 2tu = 1 dt