SolveODE Command

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Outside CAS

SolveODE[ <f'(x,y)>, <Start x>, <Start y>, <End x>, <Step> ]
Solves first order ODE f(x,y)=0 given df/dx, start point and step for x.
SolveODE[ <y'>, <x'>, <Start x>, <Start y>, <End t>, <Step> ]
Solves first order ODE f(x(t),y(t))=0 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. The algorithms are based on Runge-Kutta numeric methods.

In CAS

SolveODE(<f'(x,y)>)
Solves first order ODE f(x,y)=0 given df/dx symbolically, works with Maxima only.
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