Difference between revisions of "SolveODE Command"

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

Revision as of 19:26, 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

\begin{equation}y+b(x)y'+c(x)y=f(x)\end{equation}

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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