Unformatted text preview: P ( x ). Since, in the formula for µ ( x ), one can choose any antiderivative of P ( x ), we take the above deFnite integral with a = 0. (Such a choice of a comes from the initial point x = 0 and makes it easy to satisfy the initial condition.) Therefore, the integrating factor µ ( x ) can be chosen as µ ( x ) = exp x Z p 1 + sin 2 t dt . Multiplying the di±erential equaion by µ ( x ) and integrating from x = 0 to x = s , we obtain d [ µ ( x ) y ] dx = µ ( x ) x ⇒ d [ µ ( x ) y ] = µ ( x ) x dx 48...
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 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations, Approximation, Derivative, Fundamental Theorem Of Calculus, variable upper bound

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