prob2-8 (2)

prob2-8 (2) - Supplementary problems for chapter 2 1. 2. 3....

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Supplementary problems for chapter 2 1.  32 2 2 46 6 3 0 xx y d y y d y  2.   22 11 ud d u   3. 3 10 xyd x xy x d y  4. tan 2 dy y x x dx  5. 21 3 0 xdy xy dx  6. 1 x y ye e 7. 20 xy x y y 8. DE: dN kN c N dt  IC: dN kN c N dt 9. DE: dx axbx dt IC:   00 x 10. xy y x y 11. y y  12. Find an integrating factor for the equation y xy y x F x    13. Prove that if yux is a particular solution of   2 0 yQ x d x d y   then 2 2 / udx ey u is an integrating factor. 14. Use the result of Prob. 13 to solve 1 yy x which has the obvious solution y x . 15. The equation     2 yP x x y fx is called the Ricatti equation. The solutions of this nonlinear equation cannot generally be expressed in terms of a finite number of integrations.
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prob2-8 (2) - Supplementary problems for chapter 2 1. 2. 3....

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