Solution of ordinary differential equations by successive integration by parts
A more advanced method of integration is developed which contains successive integration by parts and series summation. In cases reducible to quadratures this method verifies standard solutions. In the case of separable variables a sequence of fractional exponents is found when the series expansion...
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| Published in | International journal of mathematical education in science and technology Vol. 26; no. 4; pp. 589 - 597 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.07.1995
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| Online Access | Get full text |
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| Summary: | A
more advanced method of integration is developed which contains successive integration by parts and series summation. In cases reducible to quadratures this method verifies standard solutions. In the case of separable variables a sequence of fractional exponents is found when the series expansion is terminable. An approximate solution of a nonlinear differential equation is obtained when close to linearity. |
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| ISSN: | 0020-739X 1464-5211 |
| DOI: | 10.1080/0020739950260414 |