Please do the simulation of the question using mathematical software such Mathlab/Mathcad/Maple/ Mathematica. I already finished the manual calculation.

Question: Q3 Given a non-homogeneous system of the first order linear differential equation as shown below. y' = -10y. + 10y2 + 5 20 98 '2=-341+ 1592 + 3 y'? 10 -y 3 (a) Evaluate the general equation of the homogeneous system. (11 marks) (b) Determine the particular integral for the non-homogenous system. (6 marks) (c) Formulate the general solution for the non-homogenous system. (2 marks) (d) Calculate the particular solution for y(x) and y2(x) with y(0) = (-). = (6 marks)