Question

Prove $\int_\Omega u(t,x) dx = \int_\Omega g(x) dx$ for diffusion equation using energy functional

score 114 · Answer 1 · 2026-03-31 19:16:09

114

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Prove $\int_\Omega u(t,x) dx = \int_\Omega g(x) dx$ for diffusion equation using energy functional

Published on 31 Mar 2026 - 19:16

score 123 · Answer 2 · 2026-03-19 22:53:02

123

Views

How do you invert this function $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$?

Published on 19 Mar 2026 - 22:53

score 5.1k · Answer 3 · 2026-04-09 01:14:23

5.1k

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Derivation of Divergence of a Vector Field Formula

Published on 09 Apr 2026 - 1:14

score 55 · Answer 4 · 2026-03-19 20:53:52

55

Views

Determine the Laplace transform given:

Published on 19 Mar 2026 - 20:53

score 82 · Answer 5 · 2026-03-20 15:15:25

82

Views

Determine if $f(x,y)=(1+x+2y)^2$ is differentiable in $(1,-1).$

Published on 20 Mar 2026 - 15:15

score 118 · Answer 6 · 2026-04-09 03:41:43

118

Views

Get explicit, vector-valued function for a curve defined by an implicit expression.

Published on 09 Apr 2026 - 3:41

score 98 · Answer 7 · 2026-03-19 16:31:17

98

Views

Show that $\lim_{(h,k)\rightarrow (0,0)}\frac{(2k+h)^2}{\sqrt{h^2+k^2}}=0.$

Published on 19 Mar 2026 - 16:31

score 48 · Answer 8 · 2026-03-19 18:15:43

48

Views

Applying Gauss Divergence law

Published on 19 Mar 2026 - 18:15

score 100 · Answer 9 · 2026-04-09 01:10:27

100

Views

Curl calculation of a vector field

Published on 09 Apr 2026 - 1:10

score 94 · Answer 10 · 2026-03-20 03:36:29

94

Views

Why does my textbook give this solution of $\cos^{-1}$ when it should be $\sin^{-1}$?

Published on 20 Mar 2026 - 3:36

score 31 · Answer 11 · 2026-03-29 15:02:28

31

Views

Level curves and sketch of (x-a)*(y-b) type functions

Published on 29 Mar 2026 - 15:02

score 720 · Answer 12 · 2026-03-31 20:08:14

720

Views

How do you show $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$ is a diffeomorphism?

Published on 31 Mar 2026 - 20:08

score 840 · Answer 13 · 2026-04-08 22:28:24

840

Views

Given points $P(0, 3, 0) \;\;\; Q(-3, 4, 2) \;\;\; R(-2, 9, 1) \;$ find the measure of ∠PQR

Published on 08 Apr 2026 - 22:28

score 28 · Answer 14 · 2026-03-31 19:17:50

28

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How to obtain $\int_0^1|u(x,\tau)|^2 \ dx \le\int_0^1|f|^2 \ dx \qquad (2)$ with $u(x,t)$ solving the 1D Heat Equation

Published on 31 Mar 2026 - 19:17

score 370 · Answer 15 · 2026-04-09 00:08:19

370

Views

Find an equation of the curve that is the intersection of the sphere.

Published on 09 Apr 2026 - 0:08

List Question

Prove $\int_\Omega u(t,x) dx = \int_\Omega g(x) dx$ for diffusion equation using energy functional

How do you invert this function $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$?

Derivation of Divergence of a Vector Field Formula

Determine the Laplace transform given:

Determine if $f(x,y)=(1+x+2y)^2$ is differentiable in $(1,-1).$

Get explicit, vector-valued function for a curve defined by an implicit expression.

Show that $\lim_{(h,k)\rightarrow (0,0)}\frac{(2k+h)^2}{\sqrt{h^2+k^2}}=0.$

Applying Gauss Divergence law

Curl calculation of a vector field

Why does my textbook give this solution of $\cos^{-1}$ when it should be $\sin^{-1}$?

Level curves and sketch of (x-a)*(y-b) type functions

How do you show $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$ is a diffeomorphism?

Given points $P(0, 3, 0) \;\;\; Q(-3, 4, 2) \;\;\; R(-2, 9, 1) \;$ find the measure of ∠PQR

How to obtain $\int_0^1|u(x,\tau)|^2 \ dx \le\int_0^1|f|^2 \ dx \qquad (2)$ with $u(x,t)$ solving the 1D Heat Equation

Find an equation of the curve that is the intersection of the sphere.

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