eng math 501e_2011 2012 fall_week1_applications

# eng math 501e_2011 2012 fall_week1_applications -...

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

1 Application 1 Reduction to seperable form Find the general solution of the following equation . (2 4 5) ' 2 3 0 x y y x y - + + - + = Solution 1 2 ' (1 ') 2 2 (2 4 5) ' 2 3 0 , into . 1 (2 5). (1 ') 3 0 2 (2 5).(1 ') 2 6 0 2 5 '.(2 5) 2 6 0 4 11 '(2 5) 4 11 4 11 ' 2 5 2 5 x v v x y y y v x y y x y Write down the equation v v v v v v v v v v v v v v dv v v v dx v - = - = = - - + + - + = + - + + = + - + + = + - + + + = + = + + + = = + + 2 5 4 11 Let's 2, 4 10 2 4 11 4 11 1 2 4 11 1 2 4 11 1 2 4 11 1 2 4 11 4 Re , 2 1 2 2 4( 2 ) 11 4 8 4 v dx dv v multiply each side by v dx dv v v dx dv v dx dv dv v dx dv dv v x c v In v place it as v x y x c x y In x y x c x + = + + = + + - = + = - + = - + + = - + = - + = - - - + + = 8 4 8 11 4 8 4 8 11 y In x y c x y In x y - - - + = + + - + Application 2 Exact differential equations Solve the below equation. 2

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/04/2011 for the course TRADE 1056596 taught by Professor Ayladinç during the Spring '11 term at Istanbul Bilgi University.

### Page1 / 2

eng math 501e_2011 2012 fall_week1_applications -...

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

View Full Document
Ask a homework question - tutors are online