The discussion focuses on constructing a differential equation from the solution set given by the expression y = c1e3xcos(2x) + c2e3xsin(2x) + c3 + c4x. Participants clarify that c3 and c4 represent repeated roots in the context of differential equations. The key takeaway is that identifying the correct differential equation that corresponds to the provided solution is essential for confirming the solution's validity.
PREREQUISITESStudents studying differential equations, educators teaching advanced mathematics, and anyone interested in the application of differential equations in solving real-world problems.
Baumer8993 said:Homework Statement
y = c1e3xcos(2x)+c2e3xsin(2x)+c3+c4x
Homework Equations
Differential Equations.
The Attempt at a Solution
I am having trouble what the roots are for the c3, and c4 parts. I know they are a repeated root, but is it just k= 0? It seems like it would work, but I am not sure.