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Sides of an equation

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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.
321:. Then any solution of the inhomogeneous equation may have a solution of the homogeneous equation added to it, and still remain a solution. 100: 72: 17: 53: 79: 86: 422: 119: 404: 68: 332:, while the inhomogeneous equation asks for more 'realistic' solutions with some matter, or charged particles. 57: 268: 180: 172: 93: 374: 46: 157: 272: 200: 325: 161: 8: 276: 290:
on the LHS and 0 on the RHS. In contrast, an equation with a non-zero RHS is called
284: 341: 416: 328:, the homogeneous equation may correspond to a physical theory formulated in 176: 386: 133: 329: 168: 35: 145: 156:. The two sides have the same value, expressed differently, since 175:; the right-hand side is everything on the right side of a 262: 317:
a fixed function, which equation is to be solved for
203: 60:. Unsourced material may be challenged and removed. 227: 414: 267:In solving mathematical equations, particularly 167:More generally, these terms may apply to an 120:Learn how and when to remove this message 407:: definition and example of abbreviation 405:Engineering Mathematics, John Bird, p65 263:Homogeneous and inhomogeneous equations 14: 415: 377:*. This usage is less common, though. 283:is often used for equations with some 58:adding citations to reliable sources 29: 24: 25: 434: 34: 45:needs additional citations for 398: 183:, with LHS defined similarly. 140:is informal shorthand for the 13: 1: 392: 269:linear simultaneous equations 340:More abstractly, when using 7: 380: 10: 439: 186: 335: 27:Mathematical nomenclature 423:Mathematical terminology 228:{\displaystyle x+5=y+8} 273:differential equations 229: 69:"Sides of an equation" 18:Inhomogeneous equation 230: 326:mathematical physics 298:, as exemplified by 201: 54:improve this article 279:, the terminology 277:integral equations 225: 130: 129: 122: 104: 16:(Redirected from 430: 408: 402: 254: 243: 234: 232: 231: 226: 194:For example, in 125: 118: 114: 111: 105: 103: 62: 38: 30: 21: 438: 437: 433: 432: 431: 429: 428: 427: 413: 412: 411: 403: 399: 395: 383: 371:right-hand side 338: 324:For example in 296:non-homogeneous 285:linear operator 265: 257:right-hand side 249: 238: 202: 199: 198: 189: 154:right-hand side 126: 115: 109: 106: 63: 61: 51: 39: 28: 23: 22: 15: 12: 11: 5: 436: 426: 425: 410: 409: 396: 394: 391: 390: 389: 382: 379: 363:left-hand side 361:stands as the 355: 354: 342:infix notation 337: 334: 311: 310: 264: 261: 246:left-hand side 236: 235: 224: 221: 218: 215: 212: 209: 206: 188: 185: 148:. Similarly, 142:left-hand side 128: 127: 42: 40: 33: 26: 9: 6: 4: 3: 2: 435: 424: 421: 420: 418: 406: 401: 397: 388: 385: 384: 378: 376: 372: 368: 364: 360: 353: 349: 346: 345: 344: 343: 333: 331: 327: 322: 320: 316: 308: 304: 301: 300: 299: 297: 293: 292:inhomogeneous 289: 286: 282: 278: 274: 270: 260: 258: 252: 247: 241: 222: 219: 216: 213: 210: 207: 204: 197: 196: 195: 192: 184: 182: 178: 177:test operator 174: 170: 165: 163: 159: 155: 151: 147: 143: 139: 135: 124: 121: 113: 110:December 2009 102: 99: 95: 92: 88: 85: 81: 78: 74: 71: –  70: 66: 65:Find sources: 59: 55: 49: 48: 43:This article 41: 37: 32: 31: 19: 400: 370: 366: 362: 358: 356: 351: 347: 339: 323: 318: 314: 312: 306: 302: 295: 291: 287: 280: 266: 256: 250: 245: 239: 237: 193: 190: 166: 153: 149: 141: 137: 131: 116: 107: 97: 90: 83: 76: 64: 52:Please help 47:verification 44: 387:Equals sign 330:empty space 281:homogeneous 134:mathematics 393:References 248:(LHS) and 181:expression 173:inequality 169:inequation 80:newspapers 357:the term 162:symmetric 417:Category 381:See also 375:operator 158:equality 146:equation 373:of the 369:as the 259:(RHS). 255:is the 244:is the 187:Example 152:is the 94:scholar 336:Syntax 179:in an 144:of an 96:  89:  82:  75:  67:  313:with 101:JSTOR 87:books 365:and 275:and 73:news 294:or 253:+ 8 242:+ 5 171:or 160:is 150:RHS 138:LHS 132:In 56:by 419:: 350:* 305:= 303:Lf 271:, 164:. 136:, 367:U 359:T 352:U 348:T 319:f 315:g 309:, 307:g 288:L 251:y 240:x 223:8 220:+ 217:y 214:= 211:5 208:+ 205:x 123:) 117:( 112:) 108:( 98:· 91:· 84:· 77:· 50:. 20:)

Index

Inhomogeneous equation

verification
improve this article
adding citations to reliable sources
"Sides of an equation"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message
mathematics
equation
equality
symmetric
inequation
inequality
test operator
expression
linear simultaneous equations
differential equations
integral equations
linear operator
mathematical physics
empty space
infix notation
operator
Equals sign
Engineering Mathematics, John Bird, p65

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