Find 'k' for x(t)=k is solution for diff eq

  • Thread starter mesa
  • Start date
  • #1
648
18

Homework Statement



Find the value of k for which the constant function x(t)=k is a solution of the differential equation 6t^5dx/dt+7x−4=0.

The Attempt at a Solution



I have tried this several ways but no luck, here is one of my attempts,

solve for dx/dt,

dx/dt = (4-7x)/6t^5

take the integral,

x(t) = (1/6t^5)(4x-7x^2/2)

and that doesn't help :P
I am sure as usual I am missing something straightforward but I don't see it.
 

Answers and Replies

  • #2
STEMucator
Homework Helper
2,075
140
You have ##x(t) = k## therefore ##x'(t) = 0##.

Plugging those in yields :

##(6t^5)(0) + 7k − 4= 0##

I'm sure that you got this now. It's the same concept as in your prior thread.
 
  • Like
Likes 1 person
  • #3
648
18
You have ##x(t) = k## therefore ##x'(t) = 0##.

Plugging those in yields :

##(6t^5)(0) + 7k − 4= 0##

I'm sure that you got this now. It's the same concept as in your prior thread.
You know....
At least missing these types of things typically only happens once.

Thanks again!
 

Related Threads on Find 'k' for x(t)=k is solution for diff eq

Replies
3
Views
4K
  • Last Post
Replies
3
Views
1K
Replies
1
Views
1K
Replies
4
Views
30K
  • Last Post
Replies
5
Views
2K
Replies
18
Views
2K
  • Last Post
Replies
9
Views
3K
Replies
8
Views
906
Top