The book An Elementary Course in Differential Equations was written by author Edward Joseph Maurus Here you can read free online of An Elementary Course in Differential Equations book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is An Elementary Course in Differential Equations a good or bad book?
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30. sin - = ex 2 . X b) b ce~ x . Sin 2 x siny = c. X siny + x 2 y y cosx = c. X + y + 2 = c(xy + x + i/ 2). Xlogxy -cy. X 3 x 5 ?/ 2 = c. sin- 1 - = ex 2 . X x = y 2 (x 2 + c). X 3x?/ 2 + x 5 = c. v log- = c. X 46 DIFFERENTIAL EQUATIONS EXERCISE 10 1. (y- 2. (y - 4x + c) (y + 3x + c) = 0. 3- (y - c) (y - 4x + c) (y + 3x + c) = 0. 4. (y-2x + c)(i/ + x + c)(2y-x + c) = 0. 5. (2/-2x + c)0/-3x + c)(?/-4x + c) = 0. 6. (y - ce-x) (x 2 + 2 T/ + c) = 0. 7. (x 2 - 2 y + c) (x 2 - y + c) (3x 2 - 2 y + c...) = 0. 8. Y x + c; y l = c(x + l). 9. (y x + c) (xy ex 1) = 0. 10. X 2 + (y - c) 2 = 1. 11. (xy c)(y cx) = 0. 12. (xy - c) (x 2 + y 2 - c) = 0. EXERCISE 11 2i *Q C O C X o Cy ~r 1. I / *... . I, 3 p2 ' 7. Y = ex + c 2 ; singular solution, x 2 + 4 ?/ = 0. p2 2 c 8. Y = ex + tan -1 c ; no singular solution. 3 9. Y = 2. Y = ce 1 + c 2 . Singular solution, x 2 + y 2 = 36. 3. Y = c log x + c 2 . 10. Y = ex + - ; singular solution, y 2 = 4 ox. 4. Y = ex 2 + c 2 . C 5. Ex 8 = (y c) 2 . 11. Y = ex + c Vc 2 + 1.
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