| 2214. | y = C1 e 2x + C2 e - 2x - 2x ³ - 3x. |
| 2215. |  |
| 2216. | y = C1 cos x + C2 sin x + x + e x. |
| 2217. |  |
| 2218. | y = e 2x (C1 cos x + C2 sin x) + x² - 8x + 7. |
| 2219. | y = C1 e 2x + (C2 - x) e x. |
| 2220. | x = A sin k(t - t0) - t cos kt. |
| 2221. |  |
| 2222. |  |
| 2223. |  |
| 2224. | x = e - kt (C1 cos kt + C2 sin kt) + sin kt - 2 cos kt. |
| 2225. | y = C1 + C2x + (C3 + x) e - x + x ³ - 3x². |
| 2226. |  |
| 2227. | x = C1 + C2 cos t + C3 sin t + t ³ - 6t. |
| 2228. |  |
| 2229. | 1)  2)  |
| 2230. | Здесь y1 = cos 2x, y2 = sin 2x, w = 2; A = - x/2 + C1;  и  . |
| 2231. | н = [(C1 + ln cos x)·cos x + (C2 + ln cos x)·sin x]·e 2x. |
| 2232. | y = (C1 - ln x + C2x)·e x. |
| 2233. |  |
| 2234. | 1) y = C1 + C2·e - x - (1 + e - x)·ln (1 + e x) + x; 2)  . |
| 2235. | x = a·(e - t + t - 1). |
| 2236. | y = C1·e x + C2·e - 2x - 3(x² + x + 1,5). |
| 2237. |  |
| 2238. |  |
| 2239. |  |
| 2240. |  |
| 2241. |  |
| 2242. | s = e - t (C1 cos t + C2 sin t) + (t - 1) ³. |
| 2243. | 1)  2)  |
| 2244. | y = A cos x + B sin x + C cos 2x + D sin 2x - ½·x cos x. |
| 2245. |  |
| 2246. |  |
| 2247. | 1)  ; 2)  |
| 2248. |  |