Chem Differential Eq HW Solutions Fall 2011 190

Chem Differential Eq HW Solutions Fall 2011 190 - A190...

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Unformatted text preview: A190 Appendix A Ordinary Differential Equations: Review of Concepts and Methods Then ∞ x2 y + y = x2 ∞ m(m − 1)am xm−2 + m=2 m=0 ∞ ∞ m(m − 1)am xm + = am xm m=2 am xm m=0 ∞ ∞ m = am xm m(m − 1)am x + a0 + a1x + m=2 m=2 ∞ = [m(m − 1)am + am ] xm a0 + a1 x + m=2 ∞ = (m2 − m + 1)am xm . a0 + a1 x + m=2 ...
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