In: Advanced Math
a) Define which differential equations are called linear and which are called nonlinear? [10 marks]
b) Define which systems of differential equations are called homogeneous and which are called non-homogeneous? [10 marks]
c) What is the general structure of solution of a linear nonhomogeneous differential equation? [10 marks]
d) What is the principle of superposition in application to the solution of ordinary differential equations (ODEs)? To which kind of ODEs is it applicable? [10 marks]