The primary textbook you are looking for is "Aircraft Performance and Design" by John D. Anderson, Jr.. This book is a standard in aerospace education because it uniquely integrates aircraft performance and design into one introductory treatment.
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You're looking for a free PDF download of "Aircraft Performance and Design" by John J. Anderson. Here's some information: equations of motion
Part II: Aircraft Performance: Focuses on static and accelerated performance, equations of motion, and graphical/analytical solutions. and graphical/analytical solutions.