The discussion focuses on finding the operational determinant for a system of differential equations represented by x' = 4x + y + 2t and y' = -2x + y. The user expresses confusion due to the presence of the variable t, which is not typical in their textbook examples. The solution involves rearranging the equations to isolate the variables and applying the differential operator D to facilitate the calculation of the operational determinant. The final form of the equations is (D-4)x + 3y = 2t and 2x + (D-1)y = 0, providing a clearer path to solving the problem.
PREREQUISITESStudents studying differential equations, educators teaching advanced mathematics, and anyone seeking to understand operational determinants in mathematical contexts.
First when doing these problems put all the xs and ys on one side of the equations.jinksys said:Homework Statement
This is a problem in differential equations.
Find the operational determinant and solve the equation.
x'= 4x + y + 2t
y' = -2x + yHomework Equations
The Attempt at a Solution
I'm at a total loss. All the examples in the book have problems with the form:
(D - 4)x + 3y = 0
-6x + (D + 7)y = 0
Nothing like what I have, and certainly nothing with x,y, AND t. That t really throws me off.