+1 862 207 3288 convincing demonstration that the second order equation ay” + by’ + cy = 0, a, b, and c constants
(a) Give a convincing demonstration that the second order equation ay” + by’ + cy = 0, a, b, and c constants, always possesses at least one solution of the form y1 = em1x, m1 a constant.
(b) Explain why the differential equation in part (a) must then have a second solution either of the form y2 = em2xor of the form y2 = xem1x , 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?
