Matlab has a built-in function called "ode45" that can be used to numerically solve differential equations. This function takes in the differential equation, initial conditions, and desired time interval as inputs and returns a solution vector. You can also use the "ode23" and "ode15s" functions for stiff and non-stiff equations, respectively.
Yes, you can use the "plot" function in Matlab to plot the solution vector obtained from solving the differential equation. You can also use the "subplot" function to plot multiple solutions on the same graph for comparison.
Yes, Matlab has a function called "ode45s" that can be used to solve systems of differential equations. This function takes in the system of equations, initial conditions, and desired time interval as inputs and returns a solution vector for each equation in the system.
Yes, aside from the "ode" family of functions, Matlab also has the "dsolve" function that can be used to analytically solve certain types of differential equations. This function uses the symbolic math toolbox in Matlab and can handle both ordinary and partial differential equations.
Yes, Matlab has a function called "bvp4c" that can be used to solve boundary value problems numerically. This function takes in the differential equation, boundary conditions, and initial guess for the solution as inputs and returns a solution vector that satisfies the given conditions.