Question

Prove that the only solution to $x \frac { \partial f } { \partial y } - y \frac { \partial f } { \partial x } = f$ is $f = 0$

score 110 · Answer 1 · 2026-04-16 01:26:48

110

Views

Prove that the only solution to $x \frac { \partial f } { \partial y } - y \frac { \partial f } { \partial x } = f$ is $f = 0$

Published on 16 Apr 2026 - 1:26

score 134 · Answer 2 · 2026-04-15 07:30:08

134

Views

Show, using the definition of derivative, that $f:\mathbb{R}^2\rightarrow\mathbb{R}$ defined by $f(x,y)=xy$ is differentiable everywhere.

Published on 15 Apr 2026 - 7:30

score 68 · Answer 3 · 2026-04-14 09:27:54

68

Views

Prove that Laplace density (standard) lies in Sobolev space of order $\leq 3/2$

Published on 14 Apr 2026 - 9:27

score 50 · Answer 4 · 2026-04-09 01:03:26

50

Views

My question is about the integration limits of a double integral

Published on 09 Apr 2026 - 1:03

score 53 · Answer 5 · 2026-04-12 11:20:05

53

Views

multivariable calculus, Cartesian coordinate and polar coordinate

Published on 12 Apr 2026 - 11:20

score 56 · Answer 6 · 2026-04-08 21:26:48

56

Views

How do I create the formula for calculate the damage of a skill

Published on 08 Apr 2026 - 21:26

score 246 · Answer 7 · 2026-05-01 18:37:10

246

Views

How is $f(z)=1_{xy \ne 0}$ not complex differentiable? I know $f(x,y)=1_{xy \ne 0}$ isn't real-differentiable

Published on 01 May 2026 - 18:37

score 385 · Answer 8 · 2026-04-14 20:30:43

385

Views

Prove, using first principles, that $\lim\limits_{(x,y)\to(0,0)}{x.y^2=0}$

Published on 14 Apr 2026 - 20:30

score 128 · Answer 9 · 2026-04-13 19:14:03

128

Views

Calculate this triple integral over D

Published on 13 Apr 2026 - 19:14

score 55 · Answer 10 · 2026-04-12 06:27:24

55

Views

Taylor formula for a function of multivariate variables

Published on 12 Apr 2026 - 6:27

score 233 · Answer 11 · 2026-04-12 13:24:04

233

Views

Is $f(x,y)=\frac{y}{x^2 +1}$ uniformly continuous?

Published on 12 Apr 2026 - 13:24

score 66 · Answer 12 · 2026-04-13 04:10:41

66

Views

Prove $\lim_{(h,k)\to 0} \dfrac{|f(h,k)|}{|(h,k)|}=0$ for bilinear $f$

Published on 13 Apr 2026 - 4:10

score 76 · Answer 13 · 2026-04-18 01:49:55

Verifying that $u(x, t) = \frac{1}{2}c \text{sech}^2\left(\frac{1}{2} \sqrt{c} (x - ct - x_0)\right)$ is a solution to $u_t + 6uu_x + u_{xxx} = 0$

score 94 · Answer 14 · 2026-03-25 06:03:25

94

Views

Issue with proof by contradiction of necessary second-order condition for convexity

Published on 25 Mar 2026 - 6:03

score 2.1k · Answer 15 · 2026-04-16 12:38:38

2.1k

Views

Show continuity at $(0,0)$ of $f(x,y)=\frac{xy}{\sqrt{x^2+y^2}}$ for $(x,y)\neq (0,0)$ and $f(0,0)=0$

Published on 16 Apr 2026 - 12:38

List Question

Prove that the only solution to $x \frac { \partial f } { \partial y } - y \frac { \partial f } { \partial x } = f$ is $f = 0$

Show, using the definition of derivative, that $f:\mathbb{R}^2\rightarrow\mathbb{R}$ defined by $f(x,y)=xy$ is differentiable everywhere.

Prove that Laplace density (standard) lies in Sobolev space of order $\leq 3/2$

My question is about the integration limits of a double integral

multivariable calculus, Cartesian coordinate and polar coordinate

How do I create the formula for calculate the damage of a skill

How is $f(z)=1_{xy \ne 0}$ not complex differentiable? I know $f(x,y)=1_{xy \ne 0}$ isn't real-differentiable

Prove, using first principles, that $\lim\limits_{(x,y)\to(0,0)}{x.y^2=0}$

Calculate this triple integral over D

Taylor formula for a function of multivariate variables

Is $f(x,y)=\frac{y}{x^2 +1}$ uniformly continuous?

Prove $\lim_{(h,k)\to 0} \dfrac{|f(h,k)|}{|(h,k)|}=0$ for bilinear $f$

Verifying that $u(x, t) = \frac{1}{2}c \text{sech}^2\left(\frac{1}{2} \sqrt{c} (x - ct - x_0)\right)$ is a solution to $u_t + 6uu_x + u_{xxx} = 0$

Issue with proof by contradiction of necessary second-order condition for convexity

Show continuity at $(0,0)$ of $f(x,y)=\frac{xy}{\sqrt{x^2+y^2}}$ for $(x,y)\neq (0,0)$ and $f(0,0)=0$

Trending Questions

Popular # Hahtags

Popular Questions