25:
222:
180:
The expression on the right side of the "=" sign is the right side of the equation and the expression on the left of the "=" is the left side of the equation.
310:. Then any solution of the inhomogeneous equation may have a solution of the homogeneous equation added to it, and still remain a solution.
89:
61:
42:
68:
75:
411:
108:
393:
57:
321:, while the inhomogeneous equation asks for more 'realistic' solutions with some matter, or charged particles.
46:
257:
169:
161:
82:
363:
35:
146:
261:
189:
314:
150:
8:
265:
279:
on the LHS and 0 on the RHS. In contrast, an equation with a non-zero RHS is called
273:
330:
405:
317:, the homogeneous equation may correspond to a physical theory formulated in
165:
375:
122:
318:
157:
24:
134:
145:. The two sides have the same value, expressed differently, since
164:; the right-hand side is everything on the right side of a
251:
306:
a fixed function, which equation is to be solved for
192:
49:. Unsourced material may be challenged and removed.
216:
403:
256:In solving mathematical equations, particularly
156:More generally, these terms may apply to an
109:Learn how and when to remove this message
396:: definition and example of abbreviation
394:Engineering Mathematics, John Bird, p65
252:Homogeneous and inhomogeneous equations
404:
366:*. This usage is less common, though.
272:is often used for equations with some
47:adding citations to reliable sources
18:
13:
14:
423:
23:
34:needs additional citations for
387:
172:, with LHS defined similarly.
129:is informal shorthand for the
1:
381:
258:linear simultaneous equations
329:More abstractly, when using
7:
369:
10:
428:
175:
324:
16:Mathematical nomenclature
412:Mathematical terminology
217:{\displaystyle x+5=y+8}
262:differential equations
218:
58:"Sides of an equation"
219:
315:mathematical physics
287:, as exemplified by
190:
43:improve this article
268:, the terminology
266:integral equations
214:
119:
118:
111:
93:
419:
397:
391:
243:
232:
223:
221:
220:
215:
183:For example, in
114:
107:
103:
100:
94:
92:
51:
27:
19:
427:
426:
422:
421:
420:
418:
417:
416:
402:
401:
400:
392:
388:
384:
372:
360:right-hand side
327:
313:For example in
285:non-homogeneous
274:linear operator
254:
246:right-hand side
238:
227:
191:
188:
187:
178:
143:right-hand side
115:
104:
98:
95:
52:
50:
40:
28:
17:
12:
11:
5:
425:
415:
414:
399:
398:
385:
383:
380:
379:
378:
371:
368:
352:left-hand side
350:stands as the
344:
343:
331:infix notation
326:
323:
300:
299:
253:
250:
235:left-hand side
225:
224:
213:
210:
207:
204:
201:
198:
195:
177:
174:
137:. Similarly,
131:left-hand side
117:
116:
31:
29:
22:
15:
9:
6:
4:
3:
2:
424:
413:
410:
409:
407:
395:
390:
386:
377:
374:
373:
367:
365:
361:
357:
353:
349:
342:
338:
335:
334:
333:
332:
322:
320:
316:
311:
309:
305:
297:
293:
290:
289:
288:
286:
282:
281:inhomogeneous
278:
275:
271:
267:
263:
259:
249:
247:
241:
236:
230:
211:
208:
205:
202:
199:
196:
193:
186:
185:
184:
181:
173:
171:
167:
166:test operator
163:
159:
154:
152:
148:
144:
140:
136:
132:
128:
124:
113:
110:
102:
99:December 2009
91:
88:
84:
81:
77:
74:
70:
67:
63:
60: –
59:
55:
54:Find sources:
48:
44:
38:
37:
32:This article
30:
26:
21:
20:
389:
359:
355:
351:
347:
345:
340:
336:
328:
312:
307:
303:
301:
295:
291:
284:
280:
276:
269:
255:
245:
239:
234:
228:
226:
182:
179:
155:
142:
138:
130:
126:
120:
105:
96:
86:
79:
72:
65:
53:
41:Please help
36:verification
33:
376:Equals sign
319:empty space
270:homogeneous
123:mathematics
382:References
237:(LHS) and
170:expression
162:inequality
158:inequation
69:newspapers
346:the term
151:symmetric
406:Category
370:See also
364:operator
147:equality
135:equation
362:of the
358:as the
248:(RHS).
244:is the
233:is the
176:Example
141:is the
83:scholar
325:Syntax
168:in an
133:of an
85:
78:
71:
64:
56:
302:with
90:JSTOR
76:books
354:and
264:and
62:news
283:or
242:+ 8
231:+ 5
160:or
149:is
139:RHS
127:LHS
121:In
45:by
408::
339:*
294:=
292:Lf
260:,
153:.
125:,
356:U
348:T
341:U
337:T
308:f
304:g
298:,
296:g
277:L
240:y
229:x
212:8
209:+
206:y
203:=
200:5
197:+
194:x
112:)
106:(
101:)
97:(
87:·
80:·
73:·
66:·
39:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
