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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. (1),f(t,x), is set and the initial conditions,x=x0at timet0are ME175, the solution is often not complete once you have solved the problem andobtained the ode s governing the systems motion.

Department of Mechanical Engineering University of California at Berkeley A brief introduction to using ode45 in MATLAB MATLAB’s standard solver for ordinary di erential equations (ODEs) …

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