Variation of Parameters Question

Click For Summary

Homework Help Overview

The discussion revolves around a problem related to the method of Variation of Parameters in differential equations. The original poster shares their attempts at solving the problem and expresses confusion over arriving at an incorrect solution compared to the expected answer.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the Variation of Parameters method but questions their results. Other participants ask for clarification on the steps taken to arrive at the provided answer, indicating a need for deeper exploration of the procedure used.

Discussion Status

The discussion is ongoing, with participants seeking to understand the original poster's approach and reasoning. There is an indication of collaborative effort to clarify the process, but no consensus or resolution has been reached yet.

Contextual Notes

The original poster mentions an impending math final, which may add urgency to the discussion. There is also a reference to attached images that contain the problem statement and the procedure attempted, which may be critical for understanding the context.

xlzhsteven
Messages
19
Reaction score
0
Question is attached as Clipboard01.jpg

I have tried the use Variation of Parameters to solve this question, but I kept getting wrong answer.
This is What I get y=(2e^x)(Cos(e^x))+0.5(e^(-x))Cos(e^(-x))-2Sin(e^(-x))
This is the right answer: y=-Sin(e^(-x))-(e^x)Cos(e^(-x))

Procedure is shown in the second jpg file
Can someone help me with this problem?
Thank You
 

Attachments

  • Clipboard01.jpg
    Clipboard01.jpg
    3 KB · Views: 451
  • scan0002.jpg
    scan0002.jpg
    12.4 KB · Views: 451
Last edited:
Physics news on Phys.org
Show how you got that answer and we will try to help.
 
I have attached my procedure in scan0002.jpg
 
Can anyone help me? I have math final tomorrow.
 

Similar threads

Variation of parameter VS Undetermined Coefficients
  • · Replies 7 ·
Replies
7
Views
2K
Solving Systems of Inhomogeneous Linear ODEs
  • · Replies 3 ·
Replies
3
Views
2K
ODE question: Understanding a step in the solution
  • · Replies 2 ·
Replies
2
Views
1K
How do we write a sinusoidal solution to a 2nd order DE as a sum of exponentials raised to complex roots?
  • · Replies 2 ·
Replies
2
Views
3K
What is the general solution for a DE involving cosh and sinh?
  • · Replies 3 ·
Replies
3
Views
2K
Determine whether ## S[y] ## has a maximum or a minimum
  • · Replies 18 ·
Replies
18
Views
3K
Reparameterizing a curve in path length parameter
  • · Replies 1 ·
Replies
1
Views
2K
Is this the correct general solution of the given PDE?
  • · Replies 12 ·
Replies
12
Views
2K
Determine the range of a function using parameter differentiation
  • · Replies 10 ·
Replies
10
Views
2K
A Wronskian- variation of Params Problem
  • · Replies 1 ·
Replies
1
Views
2K