(a) Give a convincing demonstration that the secondorder equation and c constants,...

(a) Give a convincing demonstration that the secondorder equation and c constants, always possesses at least one solution of the form , m₁ a constant.

(b) Explain why the differential equation in part (a) must then have a second solution either of the form

(c) Reexamine Problems 1–8. Can you explain why the statements in parts (a) and (b) above are not contradicted by the answers to Problems 3–5?