• Support PF! Buy your school textbooks, materials and every day products Here!

Cannot find nonhomogenous DE solution (should be easy?)

  • Thread starter gkirkland
  • Start date
  • #1
11
0

Homework Statement


Determine the non-homogenous solution of the given differential equation.


Homework Equations


See 3.


The Attempt at a Solution



I have solved for the homogenous part, but as you can see in the link I am getting an unsolvable system of equations with the substitution method on the non-homogenous part. What am I doing wrong?

Capture_zpsc57ed194.jpg

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
ehild
Homework Helper
15,427
1,823
You have to choose an other trial function for xp, as the inhomogeneous part contains the same exponent as one of the exponents in the homogeneous part.

ehild
 
  • #3
pasmith
Homework Helper
1,737
410

Homework Statement


Determine the non-homogenous solution of the given differential equation.


Homework Equations


See 3.


The Attempt at a Solution



I have solved for the homogenous part, but as you can see in the link I am getting an unsolvable system of equations with the substitution method on the non-homogenous part. What am I doing wrong?

Capture_zpsc57ed194.jpg
Try
[tex]
x_p = a\begin{pmatrix} 1 \\ -1 \end{pmatrix} te^{-t}
+ b\begin{pmatrix}1 \\ -5\end{pmatrix} e^{-t}
[/tex]
 

Related Threads on Cannot find nonhomogenous DE solution (should be easy?)

Replies
1
Views
2K
Replies
5
Views
2K
Replies
4
Views
1K
Replies
3
Views
2K
  • Last Post
Replies
7
Views
952
  • Last Post
Replies
5
Views
982
Replies
0
Views
839
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
1K
Top