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ranyai12Best 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!
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
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?
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
General solution means, solving the homogenous differential equation, setting \(g(x)=0 \)
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
To find \(g(x)\) you can just take the inverse of the right hand side.
 one year ago

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

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

SpacelimbusBest ResponseYou've already chosen the best response.0
my guess is that only the first two are right, given by the homogenous system.
 one year ago

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

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

ranyai12Best ResponseYou've already chosen the best response.0
you cant get partial credit so I can only check it at the end
 one year ago

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

SpacelimbusBest ResponseYou've already chosen the best response.0
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.
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
since we have initial conditions.
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
did you correct the x? Of course it should be there (:
 one year ago

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

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

ranyai12Best ResponseYou've already chosen the best response.0
yea but dont we stop there
 one year ago

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

ranyai12Best ResponseYou've already chosen the best response.0
yea thats what I got earlier and it was wrong
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
That's not the solution we've got to inverse it.
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
So inverse that and you should get the solution
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
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.
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
try that and then please tell me if it's correct.
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
I did the step and it ended up being wrong
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
i ended up getting (e^(3t))(e^(18)(t6)step(t6)+e^(3)(t1)step(t1)+16t)
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
I was checking on a similar problem and they attempt the problem the exact same way as we do.
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
i know thats what confused me! I did it twice and got the same asnwer
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
can your program read it? Or do you need to substitute something for the stepside function ??
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
i only have to substitute the theta to the wrod stepwhich i did and it was still wrong
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
somewhere in my notes I have an error.
 one year ago

SpacelimbusBest ResponseYou've already chosen the best response.0
got that @ranyai12 ?
 one year ago

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

ranyai12Best ResponseYou've already chosen the best response.0
I ran out of tries anyway but thanks though and if you figure it out please let me knoe because it's killing me!
 one year ago
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