5. A curve has equation y + sin 2y = 2x – x². (a) Use implicit differentiation to show that y' = -1 at the point (2,0). (b) Hence, determine y" at the point (2,0). Answer: (c) Use the results of parts (a) and (b) to sketch the curve in the neighbourhood of the point (2,0).
5. A curve has equation y + sin 2y = 2x – x². (a) Use implicit differentiation to show that y' = -1 at the point (2,0). (b) Hence, determine y" at the point (2,0). Answer: (c) Use the results of parts (a) and (b) to sketch the curve in the neighbourhood of the point (2,0).
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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