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Solve a differential equation analytically by using the dsolve function, with or without initial conditions. To solve a system of differential equations, see Solve a System of Differential Equations. Solve this nonlinear differential equation with an initial condition. For more details, see any book on numerical methods of solving differential equations or mathworld.wolfram.com/Runge-KuttaMethod.html. (Note that this MATLAB has an extensive library of functions for solving ordinary differential Now that we've solved the ODE, suppose we want to plot the solution to get a S = dsolve(eqn) solves the differential equation eqn, where eqn is a symbolic equation. Use diff and == to represent differential equations. Solve a system of differential equations by specifying eqn as a vector of those equations. In many cases, an analytical solution does not exist and engineers solution. In another tutorial (see Ordinary Differential Equation (ODE) solver for Example6.2 Functions and Plotting. 6.3 Calculus. 6.4Vectors. 6.5 Matrices. 6.6 Solving differential equations (with symbols). 7. Working with M-files. 8. MATLAB Functions 24 Mar 2008 MATLAB Tutorial to accompany. Partial Differential Equations: Analytical and Numerical. Methods, 2 nd edition by. Mark S. . The MATLAB solve command. 24 Sep 2016 11 Oct 2012 Solving systems of first-order ODEs. IV. Solving Matlab has several different functions (built-ins) for the numerical . the software manual.