Unformatted text preview: y ( n ) = f ( t,y,y ,y 00 ,...,y ( n1) ). A solution of this ODE on the interval α < t < β is a function φ ( t ) such that all the derivatives of φ ( t ) up to order n exist everywhere in the interval and satisfy φ ( n ) ( t ) = f ( t,φ ( t ) ,φ ( t ) ,...,φ ( n1) ( t )) for every t in the interval. Example. For which values of r is y ( t ) = e rt a solution of y 009 y + 45 y = 0? HOMEWORK: SECTION 1.3...
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 Spring '08
 Fonken
 Differential Equations, Equations, Derivative, Ordinary versus

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