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View Equation

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

Equation data
Category:1. Ordinary Differential Equations
Subcategory:1.4. Higher-Order Linear Equations
Equation(s):$\displaystyle \sum^n_{k=1}f_k(x)y^{[k]}_x+f_0(x)(a+x)y'_x-f_0(x)y=0 $,\hfill\break
where $f_k(x)$ are arbitrary functions, $a$ is an arbitrary constant.
Solution(s),
Transformation(s),
Integral(s)
:
Particular solution:\hfill\break
$\displaystyle y_1(x)=a+x $. \hfill\break
Remarks:Notation: $y^{[k]}_x=\frac{dy^k}{dx^k}.
Novelty:New equation(s) & solution(s) / integral(s)
Author/Contributor's Details
Last name:Stepuchev
First name:Valeriy
Country:Latviya
City:Sigulda
Statistic information
Submission date:Mon 15 Apr 2013 19:34
Edits by author:0

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