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A brief introduction to using ode45 in MATLAB

Nur Adila Faruk SenanDepartment of Mechanical EngineeringUniversity of California at BerkeleyA brief introduction to usingode45inMATLABMATLAB s standard solver for ordinary differential equations (ODEs) is the functionode45. This function implements a Runge-Kutta method with a variable time step forefficient designed to handle the following general problem:dxdt=f(t,x),x(t0) =x0,(1)where t is the independent variable,xis a vector of dependent variables to be found andf(t,x) is a function oftandx. The mathematical problem is specified when the vectorof functions on the right-hand side of Eq.

MATLAB are lucidly explained in the MATLAB help and I won’t go into detail about them here. Bear in mind that if you plan to hand in 20 plots, you will do the grader (and mother nature) a favor by using the subplot function to t multiple plots into one page. Don’t go overboard with this however - 20 plots on a single page isn’t a good ...

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