… using differential equations#

This is treated in the first part of chapter 14.1.4 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006). From the beginning of the paragraph until Working out the boundary conditions gives \(C_1 = H \cfrac{h}{l} + \frac{1}{2}ql, C_2 = 0.\).
Exercises#
Exercises in chapter 14.4 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006), answers are available on this website: 14.1 - 14.49