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Unformatted text preview: Multiply through by the integrating factor: Write the left-hand side as the derivative of a product (it's rather more complicated this time but try differentiating what's inside the square brackets and you'll see it does give the previous left-hand side. ...): We'll write the integrating factor as just IF instead of that exponential to make it clearer: Then integrate both sides: Finally divide both sides by IF to get y on its own and there we are, we have found the formula: Why does the integrating factor method work? http://www.ucl.ac.uk/mathematics/geomath/level2/deqn/de81.html 2 of 2 4/2/08 6:20 AM Return...
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This note was uploaded on 07/16/2009 for the course MATH 3705 taught by Professor Jaberabdualrahman during the Winter '08 term at Carleton CA.
- Winter '08