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prob2-8 (2) - Supplementary problems for chapter 2 1 2 3 4...

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Supplementary problems for chapter 2 1. 3 2 2 2 4 6 6 3 0 x xy dx x y y dy 2. 2 2 1 1 u d du 3. 2 2 3 1 0 x y dx x y x dy 4. tan 2 dy y x x dx 5. 3 2 2 1 3 0 x dy x y dx 6. 1 x y y e e  7. 2 2 2 0 x y xy y  8. DE: dN kN c N dt IC: dN kN c N dt 9. DE:  dx a x b x dt IC:   0 0 x 10. 2 2 x yy x y 11. 2 2 x yy x x y 12. Find an integrating factor for the equation y xy y x F x  13. Prove that if y u x is a particular solution of 2 0 y Q x dx dy then 2 2 / udx e y u is an integrating factor. 14. Use the result of Prob. 13 to solve 2 2 1 y y x  which has the obvious solution y x .
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