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View Equation

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

Equation data
Category:1. Ordinary Differential Equations
Subcategory:1.2. Second-Order Linear Equations
Equation(s):$\displaystyle fy''-f''y+\frac{4y}{f^3}=0$,\hfill\break
where $y(x)$ is unknown function, $f(x)>0$ is  given arbitrary function
Solution(s),
Transformation(s),
Integral(s)
:
Solution:\hfill\break
$\displaystyle y=C_1 f(x) \cos{2 \int \frac{dx}{f^2(x)}} + C_2 f(x) \sin{2 \int \frac{dx}{f^2(x)}} $,\hfill\break
where $C_1, C_2$ are arbitrary parameters
Novelty:New equation(s) & solution(s) / integral(s)
Author/Contributor's Details
Last name:Dymarskii
First name:Yakov
Country:Ukraine
City:Lugansk
Affiliation:Lugansk State University of Internal Affairs
Statistic information
Submission date:Fri 07 Jan 2011 12:19
Edits by author:0

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