4. (6 pts) Let -co a

4. (6 pts) Let x < b to E (a, b), and E R". (a) (3 pts) As;ume f E b) X Rn,Rn) such that If(t, p(t) + q(t), where p, q are continuous on (a, b). Show that every solution of the IVP r(to) 10 exists on the whole interval (a, b). (b) (b) (3 pts) What can you say about the solution of the linear equation where A e and g