In order to solve simultaneous non-linear differential equations in Matlab, you first need to define the equations using the "syms" function. This allows you to create symbolic variables and use them in your equations.
Yes, the "ode45" function can be used to solve non-linear differential equations in Matlab. However, you may need to modify the equations or use additional functions such as "ode23" or "ode15s" for better accuracy.
You can specify initial conditions using the "ode45" function by adding a vector of initial values as a fourth argument. For example, if your equations have two variables, your initial conditions vector would have two values.
The main difference between these two functions is their algorithm. "ode45" uses a fourth and fifth order Runge-Kutta method, while "ode23" uses a second and third order Runge-Kutta method. In general, "ode45" is more accurate, but "ode23" may be faster for some equations.
You can use the "plot" function to plot the solutions of your equations in Matlab. First, you need to store the output of the "ode45" function in a new variable and then use "plot" to plot the variables against time or any other variable you choose.