HW4SOL-s09-correct

Hw4sol s09 correct

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: HW #4. Chapter 4.1 # 20. (a) By the definition of W(y1,y2,y3) y y′ y ′′ y y′ y ′′ y y′ y ′′ y y ′ y ′′ y ′ y ′′ y y ′ y ′′ y ′ y ′′ y y ′ y ′′ y ′ y ′′ W Then differentiate W W′ y ′ y ′ y ′′ y ′ y ′′ y ′ ′ y ′′ y ′ y ′′′ y ′ y ′ y ′′ y y ′′ y ′′ y y ′ y ′′′ y ′ y ′′ y ′ ′ y ′′ y ′ y ′′′ y ′ y ′ y ′′ y y ′′ y ′′ y y ′ y ′′′ y ′ y ′′ y ′′ y ′ ′ y ′ y ′′′ y y ′′ y ′′ y y ′ y ′′′ Apparently, all the terms on the second line vanish. Rewrite the terms on the first line. y ′ y ′ y ′′ Therefore, W′ y y ′ y ′′′ y ′ y ′′′ y y ′ y ′′′ y ′ y ′′′ y y ′ y ′′′ y ′ y ′′′ y y′ y ′′′ y y′ y ′′′ y y′ y ′′′ y ′ y ′ y ′′ y ′ y ′ y ′′ y ′ y ′ y ′′ y ′ y ′ y ′′ y ′ y ′ y ′′ 0 (b) W ′ y y′ p t y ′′ p t y ′ p ty y y′ p t y ′′ p t y ′ p ty y y′ p t y ′′ p t y ′ p ty Multiply the first row by p t and multiply the second raw by p t . Then add those to the last row 1p t p t W ′ p ty p t y′ p t y ′′ p t y ′ p ty p t y′ p t y ′′ p ty p ty p t y′ p t y ′′ p t y ′ p ty p ty p t y′ p t...
View Full Document

This note was uploaded on 10/12/2009 for the course MAE 210792200 taught by Professor Youssef during the Spring '09 term at UCLA.

Ask a homework question - tutors are online