New posts in change-of-variable

How to solve $(y)^{y'}=(y')^{y+c},c \in \mathbb{R}$

calculus real-analysis ordinary-differential-equations change-of-variable

Stirling's formula Baby Rudin

analysis logarithms exponential-function gamma-function change-of-variable

Baby rudin 8.21

analysis trigonometry gamma-function change-of-variable beta-function

Gaussian integral with error function

integration definite-integrals change-of-variable gaussian-integral error-function

$\arctan{x}+\arctan{y}$ from integration

integration trigonometry change-of-variable

How to get the interval after change of variables?

calculus multivariable-calculus change-of-variable

Proof that $a\nabla^2 u = bu$ is the only homogenous second order 2D PDE unchanged/invariant by rotation

partial-differential-equations laplacian change-of-variable invariance

Can we use polar coordinates to evaluate $\int_{x=0}^{1} \int_{y=x}^{1}\left(x^{2}+y^{2}\right) d y d x$

integration multivariable-calculus polar-coordinates change-of-variable

Curl in cylindrical coordinates

multivariable-calculus change-of-variable cylindrical-coordinates curl curvilinear-coordinates

When change of variable makes an empty interval

integration definite-integrals change-of-variable

Trigonometric Function variables

algebra-precalculus functions trigonometry change-of-variable

Integrate $e^{\frac{x-y}{x+y}}$ over the triangle bounded by $x=0$, $y=0$, and $y=1-x$

integration substitution multiple-integral change-of-variable

Find the volume of the solid bounded by $z^2=xy$; $x+y=a$; $x+y=b$ $(0<a<b)$ by applying variable substitution

multivariable-calculus volume multiple-integral change-of-variable

How should I solve this integral with changing parameters?

integration multivariable-calculus multiple-integral change-of-variable

Basic Confusion on Push-Forward of a Measure

measure-theory density-function change-of-variable pushforward

Given that $X,Y$ are independent $N(0,1)$ , show that $\frac{XY}{\sqrt{X^2+Y^2}},\frac{X^2-Y^2}{2\sqrt{X^2+Y^2}}$ are independent $N(0,\frac{1}{4})$

probability-distributions normal-distribution polar-coordinates change-of-variable