+1 862 207 3288 Cauchy-Euler equation
In Problems 31–36 use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. Solve the original equation by solving the new equation using the procedures in Sections 4.3–4.5.
31. x2y” + 9xy’ – 20y = 0
32. x2y” – 9xy’ + 25y = 0
33. x2y” + 10xy’ + 8y _ x2
34. x2y” – 4xy’ + 6y = ln x2
35. x2y” – 3xy’ + 13y = 4 + 3x
36. x3y'” – 3x2y” + 6xy’ – 6y = 3 + ln x3
