A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
How can I verify that the functions y1 and y2 are solutions of the differential equation? And how do I know if they constitute a fundamental set of solutions?
anonymous
 one year ago
How can I verify that the functions y1 and y2 are solutions of the differential equation? And how do I know if they constitute a fundamental set of solutions?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[y'' +4y = 0\] \[y _{1} = \cos(2t)\] \[y _{2} = \sin(2t)\]

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1how would you know of x=5 is a solution to the equation x+3 = 10 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0from x+3 =10, i know x =7. that means x=5 is not a solution.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1plug them in and see of they fit ... 5+3 = 10 is not a good fit is it?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1saying 'i know x=7' is not mathical ... in order to prove it you have to show it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh, so i plug in y1 and the second derivative of y1. and then i do the same for y2.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1and doesnt fundamental have to do with wronskians again?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correct. that means i will have to take the wronskian of y1 and y2 and verify that the determinant of their matrix is not equal to zero.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1is that the only property of a fundamental solution set that we need to satisfy? im not familiar with the properties so i wouldnt know what else to check

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, I am taking Diff EQ and for now, this is the only method we learned. We're only 10 lectures into class.... that is only Chapter 3 in the book. As far as my knowledge goes, that's the only way i can prove this...for now....

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1so yeah, plug and play to check that they are solutions, and Wronskian to determine if they are a fun solution set

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since the wronskin is not zero they are fundamental...thanks by the way, where did you find that?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.