Question

Showing that $\forall (x,y) \in (\mathbb{R}_+)^2$, $x^2 + y^2 \leq 4 e^{x+y-2}$

score 382 · Answer 1 · 2018-04-01 18:50:17

382

Views

Showing that $\forall (x,y) \in (\mathbb{R}_+)^2$, $x^2 + y^2 \leq 4 e^{x+y-2}$

Published on 01 Apr 2018 - 18:50

score 66 · Answer 2 · 2018-04-02 13:52:43

66

Views

$\frac{dx}{dt} = \sin(x) +\tan(x) + x^2.$ How do I get $x$ as a function of $t$?

Published on 02 Apr 2018 - 13:52

score 152 · Answer 3 · 2026-03-22 23:50:59

152

Views

Application of the Inverse function theorem for $f:M_n(\mathbb{R})\rightarrow M_n(\mathbb{R})$, $f(A)=A^2$.

Published on 22 Mar 2026 - 23:50

score 205 · Answer 4 · 2018-04-06 07:02:21

205

Views

Gronwall's type inequality

Published on 06 Apr 2018 - 7:02

score 323 · Answer 5 · 2018-04-06 12:34:05

323

Views

Show that the solutions to a second order differential equation is a vector space

Published on 06 Apr 2018 - 12:34

score 49 · Answer 6 · 2018-04-07 17:33:14

49

Views

Calculating the differential of $\varphi (x) = \langle\text{d}f(x)h, \text{d}f(x)k\rangle $

Published on 07 Apr 2018 - 17:33

score 1.4k · Answer 7 · 2026-03-25 04:57:29

1.4k

Views

Shortest path between two points in a cone with a condition that the path should always be uphill.

Published on 25 Mar 2026 - 4:57

score 52 · Answer 8 · 2018-04-10 14:15:59

52

Views

Using eigenvectors and values to get systems of differential equations

Published on 10 Apr 2018 - 14:15

score 89 · Answer 9 · 2018-04-10 14:18:37

89

Views

Is there a general solution for solving a differential equation that takes the form $y''+ p(t)y' + q(t)y = g(t)$

Published on 10 Apr 2018 - 14:18

score 1.6k · Answer 10 · 2018-04-12 15:07:48

1.6k

Views

Using differentials to approximate the change in f(x,y)

Published on 12 Apr 2018 - 15:07

score 77 · Answer 11 · 2026-03-25 06:08:58

77

Views

The Chain Rule - finding differentials

Published on 25 Mar 2026 - 6:08

score 55 · Answer 12 · 2018-04-13 15:38:10

55

Views

integral of this expression

Published on 13 Apr 2018 - 15:38

score 887 · Answer 13 · 2018-04-15 17:22:05

887

Views

Is $f(z)= z^2\bar{z}$ not differentiable anywhere?

Published on 15 Apr 2018 - 17:22

score 82 · Answer 14 · 2018-04-17 19:11:38

82

Views

System of 3 differential equations with 3 unknowns

Published on 17 Apr 2018 - 19:11

score 44 · Answer 15 · 2026-03-25 01:16:42

44

Views

How to project surface curvature into the domain

Published on 25 Mar 2026 - 1:16

List Question

Showing that $\forall (x,y) \in (\mathbb{R}_+)^2$, $x^2 + y^2 \leq 4 e^{x+y-2}$

$\frac{dx}{dt} = \sin(x) +\tan(x) + x^2.$ How do I get $x$ as a function of $t$?

Application of the Inverse function theorem for $f:M_n(\mathbb{R})\rightarrow M_n(\mathbb{R})$, $f(A)=A^2$.

Gronwall's type inequality

Show that the solutions to a second order differential equation is a vector space

Calculating the differential of $\varphi (x) = \langle\text{d}f(x)h, \text{d}f(x)k\rangle $

Shortest path between two points in a cone with a condition that the path should always be uphill.

Using eigenvectors and values to get systems of differential equations

Is there a general solution for solving a differential equation that takes the form $y''+ p(t)y' + q(t)y = g(t)$

Using differentials to approximate the change in f(x,y)

The Chain Rule - finding differentials

integral of this expression

Is $f(z)= z^2\bar{z}$ not differentiable anywhere?

System of 3 differential equations with 3 unknowns

How to project surface curvature into the domain

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