Profile Activity

doraemonpaul

Meta user

Network profile

Reputation

13,394

13.4k
10.5k
7.7k

2016
2017
2018
2019

Top tag

ordinary-differential-equations

Next privilege

15,000 Rep.

Protect questions

Badges

Newest

Yearling

Next badge

48/50

Impact

176 posts edited

3 helpful flags

3,169 votes cast

Summary Answers Questions Tags Badges Favorites Bounties Reputation All actions

39 Questions

Views Newest Activity Votes

votes

answer

287

views

About the great result of $\int\underbrace{x^{x^{\cdot^{\cdot^x}}}}_m~dx$

indefinite-integrals

May 19 '14 at 23:42 Yiannis Galidakis 2,978

votes

answer

483

views

$\mathcal{B}^{-1}_{s\to x}\{e^{as^2+bs}\}$ and $\mathcal{L}^{-1}_{s\to x}\{e^{as^2+bs}\}$ , where $a\neq0$

laplace-transform contour-integration

Apr 9 '13 at 4:54 doraemonpaul 13.4k

votes

answers

views

How to find the general solution of $xy''-(2x+1)y'+x^2y=0$ when we know the general solution of $y''+2y'+xy=0$?

ordinary-differential-equations

Feb 24 '13 at 0:24 Community♦ 1

votes

answers

508

views

Why solving $\dfrac{\partial u}{\partial x}=\dfrac{\partial^2u}{\partial y^2}$ like this is wrong?

pde fake-proofs

Jul 9 '12 at 4:08 Community♦ 1

votes

answers

280

views

How to solve the nonlinear higher-order PDEs with overdetermined quantities of conditions whose their most-general solutions are known?

pde

Mar 31 '13 at 21:00 Community♦ 1

votes

answer

408

views

About fractional differentiation under the integral sign

fractional-calculus

Aug 3 '12 at 7:33 draks ... 11.7k

votes

answer

713

views

About finding the general solution of first-order totally nonlinear PDE with two independent variables

pde

Jul 3 '17 at 10:31 Community♦ 1

votes

answer

views

Is it possible for cosine functions to have Fourier sine series expressions or sine functions to have Fourier cosine series expressions?

fourier-series

Nov 29 '12 at 23:44 Micah 30.7k

votes

answer

215

views

About differentiation under the product integral sign

calculus definite-integrals

Aug 1 '12 at 22:41 Henry T. Horton 15.4k

votes

answers

363

views

Longest cylinder of specified radius in a given cuboid

geometry

Jul 5 '15 at 4:18 Harish Chandra Rajpoot 29.8k

votes

answers

views

fancy about some properties of kernel functions at infinity

analysis definite-integrals integral-transforms

Apr 15 '13 at 4:51 doraemonpaul 13.4k

votes

answer

views

Does solve PDE by combination of variables always cannot find the general solutions?

pde

Apr 3 '13 at 13:49 Community♦ 1

votes

answers

views

About the second-order linear ODEs with polynomial coefficients

ordinary-differential-equations

Nov 29 '15 at 19:14 doraemonpaul 13.4k

votes

answer

105

views

Properties about the Generalized Legendre-type polynomial sequence $f_n(x)=\frac{d^n}{dx^n}(p(x)^n)$

analysis ordinary-differential-equations orthogonal-polynomials

Apr 23 '14 at 15:03 rrogers 478

votes

answers

623

views

About the inverse laplace transform of sinc function

laplace-transform contour-integration

Apr 10 '13 at 3:58 doraemonpaul 13.4k

votes

answers

147

views

How to solve the PDEs with more than two independent variables whose their most-general solutions are known?

pde

Mar 31 '13 at 21:10 Community♦ 1

votes

answer

168

views

about discrete versions of “inverse laplace transform”

laplace-transform

Dec 3 '12 at 12:04 doraemonpaul 13.4k

votes

answers

142

views

Iterations of $f(x)=\dfrac{ax+b}{cx+d}$

functional-equations function-and-relation-composition

Nov 19 '12 at 16:54 alex.jordan 40k

votes

answer

607

views

fancy about inverse discrete Fourier sine and cosine transform (i.e. Fourier sine and cosine series)

fourier-analysis integral-transforms

Sep 23 '12 at 2:05 doraemonpaul 13.4k

vote

answers

views

About the linear PDE $u_{x_1x_2x_3…x_n}=u$

pde

Nov 17 '17 at 15:49 doraemonpaul 13.4k

vote

answers

views

How the change of variables of a PDE affects the given condition(s)?

pde

Mar 30 '14 at 0:38 Ellya 9,677

vote

answers

views

How are the general skills for complete factorization of arbitrary homogeneous order polynomials in $\mathbb{C}$?

polynomials factoring

Mar 27 '14 at 22:21 doraemonpaul 13.4k

vote

answers

views

Properties about the Generalized Hermite-type polynomial sequence $f_n(x)=e^{-p(x)}\frac{d^n}{dx^n}e^{p(x)}$

analysis ordinary-differential-equations orthogonal-polynomials

Aug 12 '13 at 1:23 doraemonpaul 13.4k

vote

answers

views

Are there the resources mentioned about finding the general solutions of some first order fully nonlinear PDE examples by method of characteristics?

reference-request pde

Jan 24 '13 at 2:43 Community♦ 1

vote

answer

views

How to prove the periodicity of an iterated function?

periodic-functions function-and-relation-composition

Nov 20 '12 at 4:05 uncookedfalcon 3,684

vote

answer

362

views

Advanced improper integral involving periodic function of polynomial

calculus real-analysis improper-integrals

Nov 9 '12 at 5:37 Lukas Geyer 14.1k

vote

answer

415

views

How to compute the convolution of two functions which diverge at infinity?

convolution

Nov 1 '12 at 19:51 Robert Israel 339k

votes

answers

views

How does the connections between different forms of the solutions of simple heat equations?

pde heat-equation

May 30 at 10:12 doraemonpaul 13.4k

votes

answers

views

advance techniques for converting second-order linear ODEs with rational function coefficients to some known ODE types

ordinary-differential-equations

Mar 31 at 7:10 doraemonpaul 13.4k

votes

answers

105

views

Does Heun's differential equation have other known types confluent approach?

ordinary-differential-equations

Nov 21 at 17:45 Przemo 4,991

Stack Exchange Network

current community

your communities

more stack exchange communities

Next privilege

Next badge

39 Questions

About the great result of $\int\underbrace{x^{x^{\cdot^{\cdot^x}}}}_m~dx$

$\mathcal{B}^{-1}_{s\to x}\{e^{as^2+bs}\}$ and $\mathcal{L}^{-1}_{s\to x}\{e^{as^2+bs}\}$ , where $a\neq0$

How to find the general solution of $xy''-(2x+1)y'+x^2y=0$ when we know the general solution of $y''+2y'+xy=0$?

Why solving $\dfrac{\partial u}{\partial x}=\dfrac{\partial^2u}{\partial y^2}$ like this is wrong?

How to solve the nonlinear higher-order PDEs with overdetermined quantities of conditions whose their most-general solutions are known?

About fractional differentiation under the integral sign

About finding the general solution of first-order totally nonlinear PDE with two independent variables

Is it possible for cosine functions to have Fourier sine series expressions or sine functions to have Fourier cosine series expressions?

About differentiation under the product integral sign

Longest cylinder of specified radius in a given cuboid

fancy about some properties of kernel functions at infinity

Does solve PDE by combination of variables always cannot find the general solutions?

About the second-order linear ODEs with polynomial coefficients

Properties about the Generalized Legendre-type polynomial sequence $f_n(x)=\frac{d^n}{dx^n}(p(x)^n)$

About the inverse laplace transform of sinc function

How to solve the PDEs with more than two independent variables whose their most-general solutions are known?

about discrete versions of “inverse laplace transform”

Iterations of $f(x)=\dfrac{ax+b}{cx+d}$

fancy about inverse discrete Fourier sine and cosine transform (i.e. Fourier sine and cosine series)

About the linear PDE $u_{x_1x_2x_3…x_n}=u$

How the change of variables of a PDE affects the given condition(s)?

How are the general skills for complete factorization of arbitrary homogeneous order polynomials in $\mathbb{C}$?

Properties about the Generalized Hermite-type polynomial sequence $f_n(x)=e^{-p(x)}\frac{d^n}{dx^n}e^{p(x)}$

Are there the resources mentioned about finding the general solutions of some first order fully nonlinear PDE examples by method of characteristics?

How to prove the periodicity of an iterated function?

Advanced improper integral involving periodic function of polynomial

How to compute the convolution of two functions which diverge at infinity?

How does the connections between different forms of the solutions of simple heat equations?

advance techniques for converting second-order linear ODEs with rational function coefficients to some known ODE types

Does Heun's differential equation have other known types confluent approach?