hw_1_27_09

hw_1_27_09 - MA 221 Homework Solutions Due date Tuesday pg...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MA 221 Homework Solutions Due date : Tuesday , January 27 , 2009 pg . 65 Sec . 2 . 4 # 9 ̄ , 11 , 13 , 1 ̄ 5 ̄ , 17 , 1 ̄ 9 ̄ , 23 , 25 , 27a , 29 (Underlined Problems are not turned in) In problems 9, 11, 13, 15, 17 and 19, determine whether the equation is exact. If it is, then solve it. 9 ̄ .) 2 xy 3 dx x 2 1 dy 0 Computing partial derivatives we obtain: M y y 2 xy 3 2 x N dx x x 2 1 2 x M y N x the equation is exact. Integration yields: F x , y M x , y dx 2 xy 3 dx x 2 y 3 x f y F y x 2 f y x 2 1 f y 1 f y 1 dy y C general solution is F x , y x 2 y 3 x y C or explicitly, y C 3 x x 2 1 11.) cos x cos y 2 x dx sin x sin y 2 y dy 0 Computing partial derivatives we obtain: M y y cos x cos y 2 x cos x sin y , N dx x sin x sin y 2 y  cos x sin y M y N x the equation is exact. Integration yields:
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 3

hw_1_27_09 - MA 221 Homework Solutions Due date Tuesday pg...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online