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Taken from Assignment 3, Question 1 For each of the following vector functions F, (i) determine whether the equation Vo = F has a solution and (ii) determine V is possible: (a) F = (2xyz³, —x²z³ - 2y, 3x²yz²) (i) Does solution exist? (Y/N) (ii) V (x, y, z) = ☐ (b) = (2xy, x²+2yz, y² + 1) (i) Does solution exist? (Y/N) (ii) √(x, y, z) = ☐ If no solution, answer (ii) as 0. Hint: Don't forget +C, where C is constant.

Taken from Assignment 3, Question 1 For each of the following vector functions F, (i) determine whether the equation Vo = F has a solution and (ii) determine V is possible: (a) F = (2xyz³, —x²z³ - 2y, 3x²yz²) (i) Does solution exist? (Y/N) (ii) V (x, y, z) = ☐ (b) = (2xy, x²+2yz, y² + 1) (i) Does solution exist? (Y/N) (ii) √(x, y, z) = ☐ If no solution, answer (ii) as 0. Hint: Don't forget +C, where C is constant.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Taken from Assignment 3, Question 1 For each of the following vector functions F, (i) determine whether the equation Vo = F has a solution and (ii) determine V is possible: (a) F = (2xyz³, —x²z³ - 2y, 3x²yz²) (i) Does solution exist? (Y/N) (ii) V (x, y, z) = ☐ (b) = (2xy, x²+2yz, y² + 1) (i) Does solution exist? (Y/N) (ii) √(x, y, z) = ☐ If no solution, answer (ii) as 0. Hint: Don't forget +C, where C is constant.
Transcribed Image Text:Taken from Assignment 3, Question 1 For each of the following vector functions F, (i) determine whether the equation Vo = F has a solution and (ii) determine V is possible: (a) F = (2xyz³, —x²z³ - 2y, 3x²yz²) (i) Does solution exist? (Y/N) (ii) V (x, y, z) = ☐ (b) = (2xy, x²+2yz, y² + 1) (i) Does solution exist? (Y/N) (ii) √(x, y, z) = ☐ If no solution, answer (ii) as 0. Hint: Don't forget +C, where C is constant.
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