Integrating Factor

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integrating factor [′int·ə‚grād·iŋ ′fak·tər]

(mathematics)

A factor which when multiplied into a differential equation makes the portion involving derivatives an exact differential.

Integrating Factor

a factor multiplication by which transforms the left-hand side of the differential equation

(*) P(x, y) dx + Q(x, y) dy = 0

into the total differential of some function U(x,y). Thus, if μ(x,y) is an integrating factor, then

μ(x, y)[P(x, y) dx + Q(x, y) dy] = dU(x, y)

If the factor μ(x,y) is known, then the problem of integrating the original equation (*) reduces to quadratures, since it remains to find the function U(x,y) from its total differential.

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No references found			Burkhardt states that "spirituality is understood to involve a personal quest for meaning, to relate to the inner essence of a person, to include a sense of relationship with self, others, nature, and ultimate other, and to be the integrating factor of the human person. The role of hope and spirituality on the road to recovery: traumatic ... by DePalo, Ralph / The Exceptional Parent If the input-output differential form is integrable, or can be made integrable by multiplying an integrating factor, then there exists an input-output difference equation of the form (8) such that the transfer function of this input-output equation is F([delta]). Transfer functions of discrete-time nonlinear control ... by Halas, Miroslav; Kotta, Ulle / Proceedings of the Estonian Academy of Science Physics/Mathematics Sixth, because the society has experienced so much transition during its 40 years, especially since the mid-1990s, the journal has functioned as a major integrating factor around which the society's work has flowed. Baptist History and Heritage, 1965-2005 by Deweese, Charles W. / Baptist History and Heritage			integrated profile Integrated Project Support Environment integrated radiation integrated reflection integrated semiconductor integrated sensor integrated services digital network integrated software integrated software package Integrated System Integrated Systems Architecture Integrated Systems Laboratory integrated thermionic circuit integrated threat management integrated train Integrated Transport Network of the Ussr Integrated Transportation Services Integrated Unified System integrated-circuit capacitor integrated-circuit filter integrated-circuit memory integrated-circuit resistor integrating accelerometer integrating amplifier integrating detector Integrating Factor integrating filter integrating frequency meter integrating galvanometer integrating gyroscope integrating ionization chamber integrating meter integrating network integrating water sampler Integrating-Sphere Photometer Integration integration by parts integration constant integration efficiency Integration in Industry integration middleware Integration of Languages integration server integration test integration testing Integration, Economic Integrator Integrimeter integrin integrity integrity constraint			Integrated-Gasification Humid-Air Turbine Integrated-Local Craft Terminal Integrated-MOUT Integrated-Sensor Underwater System integrates integrates integrates integrates integrating integrating integrating integrating integrating integrating accelerometer integrating amplifier Integrating Associate Contractor Integrating Center integrating circuit Integrating Content and Language in Higher Education Integrating Contractor Representative Integrating Contractor-Official Point of Contact Integrating Curriculum and Technology Specialists integrating detector Integrating Development, Environment and Sustainability Integrating Diverse Learning Environments integrating dose meter integrating dose rate meter Integrating Employment Skills and Economic Development Integrating Engineering and Humanities in Higher Education Integrating Evolution, Development, and Genomics Integrating Factor Integrating factor method Integrating Faith Learning and Practice integrating filter integrating frequency meter integrating galvanometer Integrating Guidance Document Integrating Gyro Accelerometer integrating gyroscope Integrating Integrated Process Team Integrating Integrated Product Team integrating ionization chamber Integrating JCAHO Pain Standards Integrating Mathematics and Pedagogy Integrating Matrix Profiles and Local Alignments integrating meter Integrating Module of the National Energy Modeling System Integrating Multiple Learned Models integrating network Integrating Physician Services in the Home Integrating Plus Dead Time Integrating Quality and Novelty Integrating Quality Assurance Into Software Production Integrating Research Into the Teaching Environment Integrating Safety and Environmental Knowledge Into Food Studies

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