Difference between revisions of "SolveODE Command"

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==Outside CAS==
 
==Outside CAS==
 
; SolveODE[ <f'(x,y)>, <Start x>, <Start y>, <End x>, <Step> ]
 
; SolveODE[ <f'(x,y)>, <Start x>, <Start y>, <End x>, <Step> ]
:Solves first order ODE given df/dx.
+
:Solves first order ODE given df/dx, start point and step for ''x''.
 
 
 
; SolveODE[ <y'>, <x'>, <Start x>, <Start y>, <End t>, <Step> ]
 
; SolveODE[ <y'>, <x'>, <Start x>, <Start y>, <End t>, <Step> ]
:{{description}}
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:Solves first order ODE given dy/dt, dx/dt, start point, maximal value of ''t'' and step for ''t''.
; SolveODE[ <b(x)>, <c(x)>, <f(x)>, <Start x>, <Start y>, <Start y'>, <End x>, <Step> ]
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;SolveODE[ &lt;b(x)>, &lt;c(x)>, &lt;f(x)>, &lt;Start x>, &lt;Start y>, &lt;Start y'>, &lt;End x>, &lt;Step>]
:Solves second order ODE <math>y''+b(x)y'+c(x)y=f(x)</math>
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:Solves second order ODE  
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:<math>y''+b(x)y'+c(x)y=f(x)</math>
  
 
{{Note|Always returns the result as locus.}}
 
{{Note|Always returns the result as locus.}}
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; SolveODE(<f'(x,y)>)  
 
; SolveODE(<f'(x,y)>)  
 
:Solves first order ODE given df/dx, with Maxima only.
 
:Solves first order ODE given df/dx, with Maxima only.
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 +
{{description}}

Revision as of 18:01, 19 March 2011



Outside CAS

SolveODE[ <f'(x,y)>, <Start x>, <Start y>, <End x>, <Step> ]
Solves first order ODE given df/dx, start point and step for x.
SolveODE[ <y'>, <x'>, <Start x>, <Start y>, <End t>, <Step> ]
Solves first order ODE given dy/dt, dx/dt, start point, maximal value of t and step for t.
SolveODE[ <b(x)>, <c(x)>, <f(x)>, <Start x>, <Start y>, <Start y'>, <End x>, <Step>]
Solves second order ODE
y''+b(x)y'+c(x)y=f(x)
Note: Always returns the result as locus.

In CAS

SolveODE(<f'(x,y)>)
Solves first order ODE given df/dx, with Maxima only.


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