Page 365 - Schaum's Outline of Differential Equations
P. 365
348 ANSWERS TO SUPPLEMENTARY PROBLEMS
CHAPTER 12
12.10. y = c 1 cos x + c 2 sin x + (cos x) In Icos x\ + x sin x
2
12.15. y = c l + c 2x + xtf - e
12.18. y = c 1 + c 2x + c^x + 2x"
2
3
3
3
12.20. ^ = c 3 e '+c 2 fe '-e 'lnUI (with c 3 = Cj - 1)
12.21. x = c 1 cos 2t + c 2 sin It- 1
+ (sin 2t) In Isec 2t + tan 2A
2
2t
2
2t
2
12.26. r = Cle- ' + c 2te- + C 3t e- + 2fV <
5
)
12.27. r = Cjg ' + c 2 cos 5t + c 3 sin 5t - 8 12.28. Z = c 1 + c 2e' +C 3e 2e
CHAPTER 13
l
13.9. v = e-- + e 21
13.11. y = -cos 1 cos x - sin 1 sin x + x
= -cos(jc- 1) + x
