Constructing A Differential Equation From A Solution Set

[Baumer8993]

Homework Statement

y = c₁e^3xcos(2x)+c₂e^3xsin(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.

 

[ehild]

Homework Statement

y = c₁e^3xcos(2x)+c₂e^3xsin(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.

You are on the right track. What is the differential equation you got? If the solution of it agrees with the given one, you solved the problem.

ehild