In some cases, we can guess the solution; for example, by trying different elementary functions, we can discover that the above differential equation can be solved by f(x)=Aexp(x). Certain cla...In some cases, we can guess the solution; for example, by trying different elementary functions, we can discover that the above differential equation can be solved by f(x)=Aexp(x). Certain classes of differential equation can be solved using techniques like Fourier transforms, Green’s functions, etc., some of which will be taught in this course.
