84:
74:
53:
22:
162:
The article states that the Cauchy-Euler equation only applies to second order differential equations, but in reality it can be applied to equations of higher order as well. I'm not very good with TeX as yet, so if someone else has the wherewithal to fix it more quickly, I'd appreciate it, otherwise
191:
Can this topic show up in a search for "Euler equation" or "Euler
Differential Equation" since that's what we called it at our University, and finding it using just Euler was not as easy as it should have been. Maybe a redirect?
572:
401:
140:
610:
130:
410:
248:
106:
605:
208:
97:
58:
201:
There should probably be a redirect from "Euler-Cauchy equation" as well, since that term's used in the article itself.
33:
212:
587:
39:
583:
83:
193:
204:
21:
105:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
89:
73:
52:
591:
216:
196:
177:
167:
174:
599:
579:
404:
227:
164:
567:{\displaystyle x^{n}y^{(n)}(x)+a_{n-1}x^{n-1}y^{(n-1)}(x)+\cdots +a_{0}y(x)=f(x).}
575:
242:
223:
102:
396:{\displaystyle x^{n}y^{(n)}(x)+a_{n-1}x^{n-1}y^{(n-1)}(x)+\cdots +a_{0}y(x)=0,}
234:
79:
578:
one. This is not enough. I think this article should add more for the
15:
413:
251:
101:, a collaborative effort to improve the coverage of
566:
395:
8:
235:http://www.fiu.edu/~aladrog/CauchyEuler.pdf
47:
528:
488:
472:
456:
428:
418:
412:
366:
326:
310:
294:
266:
256:
250:
49:
19:
7:
95:This article is within the scope of
38:It is of interest to the following
14:
611:Mid-priority mathematics articles
115:Knowledge:WikiProject Mathematics
118:Template:WikiProject Mathematics
82:
72:
51:
20:
574:But the article only tells the
135:This article has been rated as
558:
552:
543:
537:
512:
506:
501:
489:
446:
440:
435:
429:
381:
375:
350:
344:
339:
327:
284:
278:
273:
267:
173:I generalized the definition.
168:16:18, 29 September 2006 (UTC)
1:
109:and see a list of open tasks.
606:C-Class mathematics articles
178:15:10, 1 December 2006 (UTC)
163:I'll work on it when I can.
627:
217:14:41, 28 March 2008 (UTC)
197:10:40, 21 July 2007 (UTC)
134:
67:
46:
241:not only represents the
141:project's priority scale
592:21:14, 2 May 2009 (UTC)
98:WikiProject Mathematics
568:
397:
28:This article is rated
569:
398:
239:Cauchy-Euler equation
411:
249:
121:mathematics articles
187:Increase Visibility
564:
393:
90:Mathematics portal
34:content assessment
219:
207:comment added by
155:
154:
151:
150:
147:
146:
618:
573:
571:
570:
565:
533:
532:
505:
504:
483:
482:
467:
466:
439:
438:
423:
422:
402:
400:
399:
394:
371:
370:
343:
342:
321:
320:
305:
304:
277:
276:
261:
260:
202:
123:
122:
119:
116:
113:
92:
87:
86:
76:
69:
68:
63:
55:
48:
31:
25:
24:
16:
626:
625:
621:
620:
619:
617:
616:
615:
596:
595:
524:
484:
468:
452:
424:
414:
409:
408:
362:
322:
306:
290:
262:
252:
247:
246:
231:
189:
160:
120:
117:
114:
111:
110:
88:
81:
61:
32:on Knowledge's
29:
12:
11:
5:
624:
622:
614:
613:
608:
598:
597:
563:
560:
557:
554:
551:
548:
545:
542:
539:
536:
531:
527:
523:
520:
517:
514:
511:
508:
503:
500:
497:
494:
491:
487:
481:
478:
475:
471:
465:
462:
459:
455:
451:
448:
445:
442:
437:
434:
431:
427:
421:
417:
392:
389:
386:
383:
380:
377:
374:
369:
365:
361:
358:
355:
352:
349:
346:
341:
338:
335:
332:
329:
325:
319:
316:
313:
309:
303:
300:
297:
293:
289:
286:
283:
280:
275:
272:
269:
265:
259:
255:
230:
221:
188:
185:
183:
181:
180:
159:
156:
153:
152:
149:
148:
145:
144:
133:
127:
126:
124:
107:the discussion
94:
93:
77:
65:
64:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
623:
612:
609:
607:
604:
603:
601:
594:
593:
589:
585:
581:
580:inhomogeneous
577:
561:
555:
549:
546:
540:
534:
529:
525:
521:
518:
515:
509:
498:
495:
492:
485:
479:
476:
473:
469:
463:
460:
457:
453:
449:
443:
432:
425:
419:
415:
406:
405:inhomogeneous
403:but also the
390:
387:
384:
378:
372:
367:
363:
359:
356:
353:
347:
336:
333:
330:
323:
317:
314:
311:
307:
301:
298:
295:
291:
287:
281:
270:
263:
257:
253:
244:
240:
236:
233:According to
229:
228:inhomogeneous
225:
222:
220:
218:
214:
210:
206:
199:
198:
195:
186:
184:
179:
176:
172:
171:
170:
169:
166:
157:
142:
138:
132:
129:
128:
125:
108:
104:
100:
99:
91:
85:
80:
78:
75:
71:
70:
66:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
584:Doraemonpaul
238:
232:
209:86.3.124.147
200:
190:
182:
161:
158:Higher order
137:Mid-priority
136:
96:
62:Mid‑priority
40:WikiProjects
576:homogeneous
243:homogeneous
224:homogeneous
203:—Preceding
194:84.59.50.72
112:Mathematics
103:mathematics
59:Mathematics
600:Categories
175:MathMartin
205:unsigned
139:on the
30:C-class
36:scale.
165:siafu
588:talk
582:one.
407:one
245:one
213:talk
226:vs
131:Mid
602::
590:)
519:⋯
496:−
477:−
461:−
357:⋯
334:−
315:−
299:−
237:,
215:)
586:(
562:.
559:)
556:x
553:(
550:f
547:=
544:)
541:x
538:(
535:y
530:0
526:a
522:+
516:+
513:)
510:x
507:(
502:)
499:1
493:n
490:(
486:y
480:1
474:n
470:x
464:1
458:n
454:a
450:+
447:)
444:x
441:(
436:)
433:n
430:(
426:y
420:n
416:x
391:,
388:0
385:=
382:)
379:x
376:(
373:y
368:0
364:a
360:+
354:+
351:)
348:x
345:(
340:)
337:1
331:n
328:(
324:y
318:1
312:n
308:x
302:1
296:n
292:a
288:+
285:)
282:x
279:(
274:)
271:n
268:(
264:y
258:n
254:x
211:(
143:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.