1. Find the solution of the de 2y'"- 4y"- 2y' + 4 = 0 2. Use the Method of Undetermined Coefficients (sec 4.4) to solve the de y'”” – 4y" = x²+ ex 3. Use an annihilator (sec 4.5) to solve the IVP: y'"' - y'= 2sinx, y(0)=0,y' (0)=0,y" (0)=1 4. Use the Method of Variation of Parameter to solve the de y" - y' = x 5. Find the first 5 nonzero terms of the power series solution, centered at xo= 0, to the IVP: (1-x)y" + y = 0, y(0)=1,y'(0)=1