Page 398 - Schaum's Outline of Differential Equations

ANSWERS TO SUPPLEMENTARY PROBLEMS 381

x
32.43. Yes 32.44. I(x) = (?; (e y')' + xe~*y + l£~*y = 0
2
32.45. I(x) = x; (xy') r + ^y = 0 32.46. X n = n ; e n(x) = cos nx (n = 0, 1, 2, ...)

CHAPTER 33

CHAPTER 34

34.17 (a) n; (b) u; (c) 7; (d) non-linear; (e) homogeneous
34.18 (a) k; (b) w; (c) 1; (d) non-linear; (e) non-homogeneous

34.19 (a) t; (b) z', (c) 3; (d) linear; (e) homogeneous

34.20 (a) m; (b) g; (c) 13; (d) linear; (e) homogeneous

n
34.24 k(-17) , where k is any constant
34.25 c 1(-l)" + c 2(12)", 34.26 c 1(10)" + c 2w(10)",
where c l and c 2 are any constants where c l and c 2 are any constants

n
2
34.28 k(2) -n -2n-3, where k is any constant

2
34.29 10(2)" - n - In - 3
34.31 $18,903.10