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ranyai12 Group Title

Can Someone Please Help! (problem is attached)

  • 2 years ago
  • 2 years ago

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  1. ranyai12 Group Title
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    • 2 years ago
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  2. ranyai12 Group Title
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    @Spacelimbus Please help! I know I asked you before but good news is I figured the other one out! so, if you can please help!

    • 2 years ago
  3. Spacelimbus Group Title
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    hmm I don't have much practice with these, but if I am not completely mistaken then you have to find a general solution first and then a special solution?

    • 2 years ago
  4. Spacelimbus Group Title
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    General solution means, solving the homogenous differential equation, setting \(g(x)=0 \)

    • 2 years ago
  5. Spacelimbus Group Title
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    To find \(g(x)\) you can just take the inverse of the right hand side.

    • 2 years ago
  6. Spacelimbus Group Title
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    Can you check one answer? \[\Large e^{-3t}+xe^{-3t}+e^{-t}-e^{-6t}+C \] C not yet calculated.

    • 2 years ago
  7. Spacelimbus Group Title
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    if none of that is correct, then I wouldn't know how to get this problem right, because of the delta function.

    • 2 years ago
  8. Spacelimbus Group Title
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    my guess is that only the first two are right, given by the homogenous system.

    • 2 years ago
  9. Spacelimbus Group Title
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    A few adds here for the right hand side \[\Large \mathcal{L}_t \lbrace \delta(t-1) \rbrace(s)=e^{-s} \]

    • 2 years ago
  10. ranyai12 Group Title
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    whats C?

    • 2 years ago
  11. Spacelimbus Group Title
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    a constant, haven't solved, but I am at doubt that the solution is correct for the third and the fourth term in general.

    • 2 years ago
  12. ranyai12 Group Title
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    you cant get partial credit so I can only check it at the end

    • 2 years ago
  13. Spacelimbus Group Title
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    hehe I actually get C=0 for the one above, so something looks dodgy

    • 2 years ago
  14. Spacelimbus Group Title
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    no wait, C=1

    • 2 years ago
  15. ranyai12 Group Title
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    ok let me check

    • 2 years ago
  16. Spacelimbus Group Title
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    If that doesn't work, I believe we have to do it step by step and can't separate it, which will be more work but should work.

    • 2 years ago
  17. Spacelimbus Group Title
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    since we have initial conditions.

    • 2 years ago
  18. ranyai12 Group Title
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    it's wrong:(

    • 2 years ago
  19. Spacelimbus Group Title
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    did you correct the x? Of course it should be there (-:

    • 2 years ago
  20. Spacelimbus Group Title
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    the other solution I got was this one \[\Large 16te^{-3t}+e^{-t}-e^{-6t} \]

    • 2 years ago
  21. ranyai12 Group Title
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    ok let me check

    • 2 years ago
  22. ranyai12 Group Title
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    it's wrong :(

    • 2 years ago
  23. Spacelimbus Group Title
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    Did you come to this point @ranyai12 ? \[\Large Y=\frac{e^{-t}-e^{-6t}+16}{(s+3)^2} \]

    • 2 years ago
  24. ranyai12 Group Title
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    yea but dont we stop there

    • 2 years ago
  25. Spacelimbus Group Title
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    \[\Large Y= \frac{e^{-s}}{(s+3)^2}- \frac{e^{-6s}}{(s+3)^2}+ \frac{16}{(s+3)^2} \]

    • 2 years ago
  26. ranyai12 Group Title
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    yea thats what I got earlier and it was wrong

    • 2 years ago
  27. Spacelimbus Group Title
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    That's not the solution we've got to inverse it.

    • 2 years ago
  28. ranyai12 Group Title
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    oh

    • 2 years ago
  29. Spacelimbus Group Title
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    So inverse that and you should get the solution

    • 2 years ago
  30. Spacelimbus Group Title
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    It's a step side function, from what I think, which would make sense too, I made a mistake earlier by keeping the time domain.

    • 2 years ago
  31. ranyai12 Group Title
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    oh ok

    • 2 years ago
  32. Spacelimbus Group Title
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    try that and then please tell me if it's correct.

    • 2 years ago
  33. ranyai12 Group Title
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    I did the step and it ended up being wrong

    • 2 years ago
  34. ranyai12 Group Title
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    i ended up getting (e^(-3t))(-e^(18)(t-6)step(t-6)+e^(3)(t-1)step(t-1)+16t)

    • 2 years ago
  35. ranyai12 Group Title
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    yea that doesnt work

    • 2 years ago
  36. Spacelimbus Group Title
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    I was checking on a similar problem and they attempt the problem the exact same way as we do.

    • 2 years ago
  37. ranyai12 Group Title
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    i know thats what confused me! I did it twice and got the same asnwer

    • 2 years ago
  38. Spacelimbus Group Title
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    can your program read it? Or do you need to substitute something for the stepside function ??

    • 2 years ago
  39. ranyai12 Group Title
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    i only have to substitute the theta to the wrod stepwhich i did and it was still wrong

    • 2 years ago
  40. Spacelimbus Group Title
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    somewhere in my notes I have an error.

    • 2 years ago
  41. Spacelimbus Group Title
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    got that @ranyai12 ?

    • 2 years ago
  42. ranyai12 Group Title
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    yea

    • 2 years ago
  43. Spacelimbus Group Title
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    We are only two constants off but I can't see where I have made the algebraic error yet.

    • 2 years ago
  44. ranyai12 Group Title
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    I ran out of tries anyway but thanks though and if you figure it out please let me knoe because it's killing me!

    • 2 years ago
  45. Spacelimbus Group Title
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    yeh I will.

    • 2 years ago
  46. ranyai12 Group Title
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    thank you!

    • 2 years ago
  47. Spacelimbus Group Title
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    no problem

    • 2 years ago
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