Bowker SOLUTIONS, PROOFS AND EXPLANATION TO EVEN NUMBERED PROBLEMS VOLUME I (CHAPTERS 1 -4) TO “DIFFERENTIAL EQUATIONS”, FOURTH EDITION (PAUL BLANCHARD, ROBERT L. DEVANEY, GLEN R. HALL)

Volume 1, Manual, Chapters 1-4 of comprehensive solutions, proofs and explanation to even numbered problems contained in the text, 4th Edition, "Differential Equations" by PAUL BLANCHARD, ROBERT L. DEVANEY, GLEN R. HALL .Elements of the author’s manual that are not commonly found in comparable solution manuals include:•Extensive introductory discussion of key principles associated with a Section. In some cases, a reminder of related math principles (such as complex number analysis, polar coordinates, etc.) that can be helpful to advance understanding of a Section.•Extensive use of illustrations, graphs, charts and other visual aide material that springs into life the math being assessed (a picture is worth a thousand words). The graphics include multiple independent illustrations and sources to illustrate the consistency in the visuals and also to confirm the intended math result. Visuals are colour coded with unique data points or function lines, to allow black and white imaging yet retain the message.•Most solutions include a checking or proof calculation to confirm a solution (such as (i) differentiating a solution to demonstrate the solution duplicates the original differential equation problem, or (ii) inserting variable data into a solution and duplicating the expected result, or (iii) graphing a solution to visually illustrate its expected performance). The author occasionally applied third party publicly accessible web-based technology to test or assess and compare a solution to determine consistency. •Writing spreadsheet models for use in solving problems (such as Euler Method, Newton Method, Hamiltonian templates, cubic equation solver) – even though such tools are also available in publicly available web domains. •Extensive use (and admittedly at times repetitive) step-by-step analysis and explanation of a problem and its solution.•Novel use of available technology, such as using spreadsheet colour coding capabilities to illustrate gradient analysis (where the author found this very instructional when plotting the movement of hungry lobsters by colour coding their probable food seeking path driven by food smell gradient).