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For G:R^2 to R^2 defined by G(x,y)=(x^3+y,y+2x) , show that G is an immersion and a topological embedding.

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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For G:R^2 to R^2 defined by G(x,y)=(x^3+y,y+2x) , show that G is an immersion and a topological embedding.

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I think in the determinant J_22=1 not zero but I understand the concept. thanks

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sorry I forget can you find for me all points where G is preserving orientation? Sorry, I forgot it.

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