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ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0@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!

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0hmm 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?

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0General solution means, solving the homogenous differential equation, setting \(g(x)=0 \)

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0To find \(g(x)\) you can just take the inverse of the right hand side.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0Can you check one answer? \[\Large e^{3t}+xe^{3t}+e^{t}e^{6t}+C \] C not yet calculated.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0if none of that is correct, then I wouldn't know how to get this problem right, because of the delta function.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0my guess is that only the first two are right, given by the homogenous system.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0A few adds here for the right hand side \[\Large \mathcal{L}_t \lbrace \delta(t1) \rbrace(s)=e^{s} \]

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0a constant, haven't solved, but I am at doubt that the solution is correct for the third and the fourth term in general.

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0you cant get partial credit so I can only check it at the end

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0hehe I actually get C=0 for the one above, so something looks dodgy

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0If 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.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0since we have initial conditions.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0did you correct the x? Of course it should be there (:

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0the other solution I got was this one \[\Large 16te^{3t}+e^{t}e^{6t} \]

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0Did you come to this point @ranyai12 ? \[\Large Y=\frac{e^{t}e^{6t}+16}{(s+3)^2} \]

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0yea but dont we stop there

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0\[\Large Y= \frac{e^{s}}{(s+3)^2} \frac{e^{6s}}{(s+3)^2}+ \frac{16}{(s+3)^2} \]

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0yea thats what I got earlier and it was wrong

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0That's not the solution we've got to inverse it.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0So inverse that and you should get the solution

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0It's a step side function, from what I think, which would make sense too, I made a mistake earlier by keeping the time domain.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0try that and then please tell me if it's correct.

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0I did the step and it ended up being wrong

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0i ended up getting (e^(3t))(e^(18)(t6)step(t6)+e^(3)(t1)step(t1)+16t)

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0I was checking on a similar problem and they attempt the problem the exact same way as we do.

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0i know thats what confused me! I did it twice and got the same asnwer

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0can your program read it? Or do you need to substitute something for the stepside function ??

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0i only have to substitute the theta to the wrod stepwhich i did and it was still wrong

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0somewhere in my notes I have an error.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0got that @ranyai12 ?

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0We are only two constants off but I can't see where I have made the algebraic error yet.

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0I ran out of tries anyway but thanks though and if you figure it out please let me knoe because it's killing me!
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