The solution for the differential equation y'' + y' + y = (1 - e^-t) using the method of undetermined coefficients involves a particular solution of the form y_p = A - Ae^-t. The constant A represents a coefficient that needs to be determined based on the non-homogeneous part of the equation. The initial guess of A - Ae^-t is correct, but further calculations are necessary to find the exact value of A that satisfies the equation.
PREREQUISITESStudents studying differential equations, mathematics educators, and anyone seeking to understand the method of undetermined coefficients in solving linear differential equations.
Well, what happened when you tried to work with your guess?kraigandrews said:Homework Statement
I am stuck on this and just need to know the form of the solution for undetermined coeffecients of y''+y'+y=(1-e^-t)
my guess is A-Ae^-t but I am not sure