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View Equation

The database contains 327 equations (8 equations are awaiting activation).

Equation data
Category:3. Linear Partial Differential Equations
Subcategory:3.1. Second-Order Parabolic Equations
Equation(s):$\displaystyle \frac{\partial w}{\partial t}+ax^2\frac{\partial^2w}{\partial x^2}=0$.
Solution(s),
Transformation(s),
Integral(s)
:
Particular solutions:\hfill\break
$\displaystyle w_0(x,t)=1$,\\
$w_1(x,t)=x$,\\
$w_2(x,t)=x^2e^{-2at}$,\\
$w_3(x,t)=x^3e^{-6at}$,\\
$\dots$,\\
$w_n(x,t)=x^ne^{-n(n-1)at}$.
Novelty:New solution(s) / integral(s)
Author/Contributor's Details
Last name:Stepuchev
First name:Valeriy
Country:Latvija
City:Sigulda
Statistic information
Submission date:Sun 18 May 2008 18:44
Edits by author:0

Edit (Only for author/contributor)


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