Tiêu đề Day 15 - Differential Equations.pdf ✅

MATHEMATICS, SURVEYING, TRANSPORTATION ENGINEERING, AND CONSTRUCTION presented by: Engr. Mansour P. Aguas Kippap Civil Engineering DIFFERENTIAL EQUATIONS


DAY 15: DIFFERENTIAL EQUATIONS DEGREE AND ORDER Before was was was, was was is • General Solution. It is a complete solution that includes all the possible solutions to a differential equation. It also involves arbitrary constants. • Particular Solution. If all of the arbitrary constants of the general solution are fixed to a particular value, the solution is called a particular solution. For example, the differential equation y ′ + y = 0 has the solution y = 2e −x However, since the functions y = 3e −x , y = 4e −x , y = 5e −x also works, the first given solution is not unique. Therefore, it is a particular solution.