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Unformatted text preview: Integrating both sides will yield the general solution if the equation is linear in y if the equation is linear in x If the given equation is not exact, reduce it to either form listed below and find an integrating factor,: Linear in y: dy + y P(x) dx = Q(x) dx G.S.: Linear in x: dx + x P(y) dy = S(y) dy Examples: Find the general solution of the differential equation. 1. Ans: 2. Ans: 3. Ans: 4. Ans: 5. Ans: 6. Ans: 7. Ans: 8. Ans: 9. Ans: From Rainville (page 39): #8. . #14. , where and are constants. #16. . #22. . #24. ; , , are constants with , . #25. Solve the equation of Exercise 24 for the exceptional cases and . #28. ; when , . #30. ; where , , and are constants, when , . #32. Find that solution of which passes through the point ....
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