Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

JenniferSmart1

  • 2 years ago

Who can help me? Variation of parameters \[y''-2y'+y=e^{2x}\] \[r^2-2r+1=0\] \[(r-1)^2=0\] \[r=1\] \[y_c(x)=c_1e^x+c_2xe^x\] \[y_p(x)=u_1e^x+u_2xe^x\] \[y_p'(x)=u_1'e^x+u_2'xe^x+u_1e^x+u_2e^x+u_2xe^x\] \[u_1'e^x+u_2'xe^x=0\] \[y_p'=u_1e^x+u_2e^x+u_2xe^x\] \[y_p''(x)=u_1e^x+u_1e^x+u_2'e^x+u_2e^x+u_2'xe^x+u_2e^x+u_2xe^x\]

  • This Question is Closed
  1. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @UnkleRhaukus

  2. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @radar

  3. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @hartnn I'm almost done with the question

  4. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    glad to see you my friend =D

  5. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the next step...everything I did so far seems right

  6. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ohhh...I plug them back into the original formula!!!

  7. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and then compare the co-efficients.

  8. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and then I....? Yeah that's where I'm stuck :P

  9. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh ok

  10. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what am I looking for when I compare the coeffients....sorry don't mean to ask dumb questions...but what is my eventual goal? Do I have to manipulate the coeffients if they're diffferent?

  11. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sry :S

  12. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

  13. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh sorry I forgot to write \[y_p'=u_1e^x+u_2e^x+u_2xe^x\]

  14. oldrin.bataku
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hey, is that the Stewart book?

  15. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

  16. JenniferSmart1
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I solved it using undetermined coefficients and I got \[y=y_c+y_p\] \[y=c_1e^x+c_2xe^x+e^{2x}\] and then I was asked to solve the same problem using variation of parameters

  17. UnkleRhaukus
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you have y_p, y'_p and y''_p insert them into t your original DE and simplify

  18. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.