In: Advanced Math
Problem 4. From order two to order three:
(a) Find the general solution of y′′′ + 3y′′ + 3y′ + y = 0.
(b) Write a differential equation given that the fundamental system
of solutions is
ex,exsinx, excosx.
(c) Compute the general solution of xy′′′ + y′′ = x2. [Answer: C1x
ln x + C2x + C3 + x4 .]