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0 problems 1 suppose fy is continuous on a closed

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Unformatted text preview: he Mean Value Theorem.) 2 2. Are the following IVPs well posed ( 4], p. 23)? Explain. p y = 1 ; y2 y(0) = 0 p y(0) = 2: y = y2 ; 1 0 0 15 16 Bibliography 1] U.M. Ascher and L.R. Petzold. Computer Methods for Ordinary Di erential Equations and Di erential-Algebraic Equations. SIAM, Philadelphia, 1998. 2] G. Birkho and G.-C. Rota. Ordinary Di erential Equations. John Wiley and Sons, New York, third edition, 1978. 3] W.E. Boyce and R.C. DiPrima. Elementary Di erential Equations and Boundary Value Problems. John Wiley and Sons, New York, third edition, 1977. 4] C.W. Gear. Numerical Initial Value Problems in Ordinary Di erential Equations. Prentice Hall, Englewood Cli s, 1971. 5] E. Hairer, S.P. Norsett, and G. Wanner. Solving Ordinary Di erential Equations I: Nonsti Problems. Springer-Verlag, Berlin, second edition, 1993. 17...
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