11166
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Some Examples of Ordinary Differential Equations with Missing
x
or
y
This Demonstration solves ordinary differential equations of the forms
and
by introducing a new variable
.
In the first case, the procedure is as follows:
,
,
,
.
In the second case:
,
,
,
. In both cases a solution is given in parametric form:
,
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] L. E. Eljsgoljc,
Differential Equations and Variational Calculus
(in Russian), Moscow: Nauka, 1969 pp. 69–71.
RELATED LINKS
First-Order Ordinary Differential Equation
(
Wolfram
MathWorld
)
Linear First-Order Differential Equation
(
Wolfram Demonstrations Project
)
Some Homogeneous Ordinary Differential Equations
(
Wolfram Demonstrations Project
)
D'Alembert's Differential Equation
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Some Examples of Ordinary Differential Equations with Missing
x
or
y
"
http://demonstrations.wolfram.com/SomeExamplesOfOrdinaryDifferentialEquationsWithMissingXOrY/
Wolfram Demonstrations Project
Published: May 7, 2014
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Some Homogeneous Ordinary Differential Equations
Izidor Hafner
Reducing a Differential Equation of a Special Form to a Homogeneous Equation
Izidor Hafner
Linear First-Order Differential Equation
Izidor Hafner
Graphic Solution of a First-Order Differential Equation
Izidor Hafner
Smirnoff's Graphic Solution of a Second-Order Differential Equation
Izidor Hafner
D'Alembert's Differential Equation
Izidor Hafner
Graphic Solution of a Second-Order Differential Equation
Izidor Hafner
Method of Variation of Parameters for Second-Order Linear Differential Equations with Constant Coefficients
Izidor Hafner
A Linear Homogeneous Second-Order Differential Equation with Constant Coefficients
Izidor Hafner
A Solution of Euler's Type for an Exact Differential Equation
Izidor Hafner
Related Topics
Differential Equations
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+