(x/8) [sin(4x)-cos(4*x)] c1*cos(4x)-c2*sin(4*x) c1*cos(4*x)+c2*sin(4x)+(x*sin(4*x)/8)-([x*cos(4*x)/8) t least one of the answers above is NOT correct. (1 point) (sin(4x) - cos(4x)) correct c cos(4x) - c2 sin(4x) correct c cos(4x)+c2 sin(4x) + x sin(4x) x cos(4x) incorrect 8 8 a. Find a particular solution to the nonhomogeneous differential equation y" + 16y= cos(4x) + sin(4x). y=x/8(sin(4x)-cos(4x)) help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use c and c in your answer to denote arbitrary constants. Enter c as c1 and c as c2. Yh=c1cos(4x)-c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 5 and y'(0) = 2. y= c1cos(4x)+c2sin(4x)+xsin(4x)/8-xcos(4x)/8 help (formulas)