5) Consider the initial value problem 9 (8² 9t+ 1)y' - 8ty = sin(2πt), ) = -4, y = -3.5 16 16 On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply. A) (-∞, ∞) B) (0, 1) 25 C) (-4, -3.5) D) E) 32'32 明

What are the solutions of the equation 2sin(4x)=1 on the interval [0,n)?

HW: ans./ [-1, co) Solve 5- 3x (1) (2/3, co) (2) 1 2. X-1< -X- 2. (13/3, o ) 2. (3) Y- 31 y-5 2. (- co, 49/30] 4 [-4, co) (5) - Sx+- 4-

12) Use y = [₁,2"+ to solve 2x²y" - xy + (x+1)y=0. n=0