(3) Consider the derivative: 2xydx + (x² + 2y)dy. Evaluate whether this is a total derivative or an inexact derivative, by referencing lecture notes (or Blundell's text book section 11.1) and integrating along straight lines (i) (x₁, y₁) → (x2, y₁) then (X2, Y₁)→ (X₂, y₂); and (ii) (x₁, y₁) → (x₁, y₂) then (x₁, Y₂) → (X₂, Y₂).
(3) Consider the derivative: 2xydx + (x² + 2y)dy. Evaluate whether this is a total derivative or an inexact derivative, by referencing lecture notes (or Blundell's text book section 11.1) and integrating along straight lines (i) (x₁, y₁) → (x2, y₁) then (X2, Y₁)→ (X₂, y₂); and (ii) (x₁, y₁) → (x₁, y₂) then (x₁, Y₂) → (X₂, Y₂).
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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