differential equation

differential equation

In Problems 43–46 solve the given differential equation by using a CAS to find the (approximate) roots of the auxiliary equation.
43. 2x3y'” – 10.98x2y” + 8.5xy’ + 1.3y = 0
44. x3y'” + 4x2y” + 5xy’ – 9y = 0
45. x4y(4) + 6x3y'” + 3x2y” – 3xy’ + 4y = 0

46. x4y(4) – 6x3y'” + 33x2y” – 105xy’ + 169y = 0