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Course Number: M 16, Fall 2009

College/University: Berkeley

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Section 10.3: Solving First-Order Linear Dierential Equations: Integration Factors A rst order linear dierential equation is a dierential equation of the form y + a(t)y = b(t) 1 Example Solve the dierential equation y + ty = 0 2 Solution In this case we can use the method of separation of variables. If y is constant, then ty y 0 so that y 0. Otherwise, we may express the equation as Integrating with respect...

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10.3: Section Solving First-Order Linear Dierential Equations: Integration Factors A rst order linear dierential equation is a dierential equation of the form y + a(t)y = b(t) 1 Example Solve the dierential equation y + ty = 0 2 Solution In this case we can use the method of separation of variables. If y ...

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