Question

Implicite function theorem on $h(x) + h(x) \int_0^{h(x)} e^{-t^2} \, dt = x$

score 36 · Answer 1 · 2021-07-22 14:34:01

36

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Implicite function theorem on $h(x) + h(x) \int_0^{h(x)} e^{-t^2} \, dt = x$

Published on 22 Jul 2021 - 14:34

score 33 · Answer 2 · 2021-07-27 02:24:56

33

Views

Implicit function theorem, a particular case.

Published on 27 Jul 2021 - 2:24

score 29 · Answer 3 · 2021-07-28 06:39:24

29

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About statements of the implicit function theorem in "Calculus - Several Variables -" by Shoshichi Kobayashi. Is this statement necessary?

Published on 28 Jul 2021 - 6:39

score 242 · Answer 4 · 2021-07-29 16:26:15

242

Views

Determining solvability of a nonlinear system

Published on 29 Jul 2021 - 16:26

score 82 · Answer 5 · 2026-03-25 20:22:57

82

Views

Prove the colum sum of a cofactor matrix of a B-matrix multipliid by a positive vector is positive.

Published on 25 Mar 2026 - 20:22

score 46 · Answer 6 · 2021-08-18 08:19:35

Is there an example such that $\frac{\partial f}{\partial y}$ vanishes at some point but we can solve for $y$ in terms of $x$ near the point and ...?

score 112 · Answer 7 · 2026-03-29 04:31:56

112

Views

The equation $f(\mathbf{x})=\mathbf{c}$ has a solution if $\mathbf{c}\approx\mathbf{0}$ (Munkres "Analysis on Manifolds" Exercise 6 on p.79)

Published on 29 Mar 2026 - 4:31

score 93 · Answer 8 · 2026-03-27 04:04:52

93

Views

Finding the Lie Algebra su(2) via the Implicit function Theorem

Published on 27 Mar 2026 - 4:04

score 39 · Answer 9 · 2026-03-29 05:34:27

39

Views

Solving nonlinear differential multi-variable equation with block-matrices

Published on 29 Mar 2026 - 5:34

score 159 · Answer 10 · 2026-02-23 22:20:18

159

Views

Show that $\partial ^2 y / \partial x \partial y = 0$ for implicit function $f(x,y(x))$?

Published on 23 Feb 2026 - 22:20

score 256 · Answer 11 · 2021-09-29 12:00:52

256

Views

Existence of a unique function $f:\Bbb R^2\setminus\{(0,0)\}\to\Bbb R, f(x,y)^3=xy\cos(xyf(x,y))-x^2y^2f(x,y), (x,y)\in\Bbb R^2\setminus\{(0,0)\}.$

Published on 29 Sep 2021 - 12:00

score 285 · Answer 12 · 2021-10-09 03:16:49

285

Views

Doubt in one step of the proof.

Published on 09 Oct 2021 - 3:16

score 219 · Answer 13 · 2026-03-27 15:35:31

219

Views

Understanding the proof of the Implicit Mapping Theorem

Published on 27 Mar 2026 - 15:35

score 114 · Answer 14 · 2021-10-09 14:12:41

114

Views

Show that the equation $y^3+ye^{u+v}+2=0$ has a unique solution $y=f(u,v)$

Published on 09 Oct 2021 - 14:12

score 73 · Answer 15 · 2021-10-09 16:10:44

73

Views

Why is the equation $\frac{dy}{dx} = \frac{-F_x}{F_y}$ true?

Published on 09 Oct 2021 - 16:10

List Question

Implicite function theorem on $h(x) + h(x) \int_0^{h(x)} e^{-t^2} \, dt = x$

Implicit function theorem, a particular case.

About statements of the implicit function theorem in "Calculus - Several Variables -" by Shoshichi Kobayashi. Is this statement necessary?

Determining solvability of a nonlinear system

Prove the colum sum of a cofactor matrix of a B-matrix multipliid by a positive vector is positive.

Is there an example such that $\frac{\partial f}{\partial y}$ vanishes at some point but we can solve for $y$ in terms of $x$ near the point and ...?

The equation $f(\mathbf{x})=\mathbf{c}$ has a solution if $\mathbf{c}\approx\mathbf{0}$ (Munkres "Analysis on Manifolds" Exercise 6 on p.79)

Finding the Lie Algebra su(2) via the Implicit function Theorem

Solving nonlinear differential multi-variable equation with block-matrices

Show that $\partial ^2 y / \partial x \partial y = 0$ for implicit function $f(x,y(x))$?

Existence of a unique function $f:\Bbb R^2\setminus\{(0,0)\}\to\Bbb R, f(x,y)^3=xy\cos(xyf(x,y))-x^2y^2f(x,y), (x,y)\in\Bbb R^2\setminus\{(0,0)\}.$

Doubt in one step of the proof.

Understanding the proof of the Implicit Mapping Theorem

Show that the equation $y^3+ye^{u+v}+2=0$ has a unique solution $y=f(u,v)$

Why is the equation $\frac{dy}{dx} = \frac{-F_x}{F_y}$ true?

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