Unformatted text preview: he Mean Value Theorem.)
2 2. Are the following IVPs well posed ( 4], p. 23)? Explain.
y = 1 ; y2
y(0) = 0
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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- Spring '14
- Boundary value problem, lipschitz condition, IVPs, di erential equations