MATLAB: Problem in Matlab (solved)

So I want to do the following:
(removed)
How should I start? What (ode functions) should I use? They are quite confusing.
Thank you for your help in advance!

Best Answer

System of differential equations can be solved in multiple ways. On the ways is to use dsolve function from Symbolic Math Toolbox.
Another way is to use ODE solvers:
Considering this example, y''+y'+y = sin(5*t) with ICs: y(0)=3, y'(0)=-2, follow the following steps to solve the equation. 
Ys=@(t,y)([y(2);-(y(2)+3*y(1))+sin(5*t)]); % Define function
ICs = [3, -2]; % Define ICs
timespan = 0: pi/100:2*pi; % Define timespan
options_ODE = odeset('RelTol', 1e-6, 'AbsTol', 1e-8); % ODE Options
[t, y_ODE45]=ode45(Ys, timeSPAN, ICs, options_ODE); % Solve
Refer the following link for to know more about how to choose an ODE Solver.
https://www.mathworks.com/help/matlab/math/choose-an-ode-solver.html
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