Differential Equations Trouble

  • #1

Homework Statement



Verify that each given function is a solution of the differential equation.
1. ty' - y = t^2 ; y = 3t + t^2

2. y'' + y = sect , 0<t<pi/2 ; y = (cost)ln( cost ) + tsint



The Attempt at a Solution


int (tdy) = int(t^2 + y)dt
which isnt y=3t + t^2

For the second part I'm not sure where to go. Thanks for the help guys.
 

Answers and Replies

  • #2
12
0
It just looks like you need to take the given solution and plug it into the differential equation to "test" if it is true.
 
  • #3
It just looks like you need to take the given solution and plug it into the differential equation to "test" if it is true.

You are correct sir. I misinterpreted the question it seems. Thanks for the save!
 
  • #4
34,884
6,624
When a problem says "verify that such and such is a solution" they are in essence telling you the answer, and just asking for you check it.
 

Related Threads on Differential Equations Trouble

Replies
4
Views
2K
Replies
3
Views
11K
Replies
12
Views
3K
Replies
4
Views
1K
Replies
5
Views
647
Replies
4
Views
1K
  • Last Post
Replies
3
Views
908
  • Last Post
Replies
2
Views
2K
Top