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

(a) Give a convincing demonstration that the second order 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 of the form m1 and m2 constants.

(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?