Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Open

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.6
\[\mathcal L\{3t^2+3t^3+e^t+\sin3t\}\]\[\qquad=3\mathcal L\{t^2\}+3\mathcal L\{t^3\}+\mathcal L\{e^t\}+\mathcal L\{\sin 3t\}\]
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.6
\[\boxed{\mathcal L\big\{t^n\big\}=\dfrac{\Gamma(n+1)}{s^{n+1}}}\qquad\boxed{\mathcal L\big\{e^{at}\big\}=\dfrac{1}{s+a}}\qquad\boxed{\mathcal L \big\{\sin(bt) \big\}=\dfrac{b}{s^2+b^2}}\]
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
thank you so much dear..
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.6
\[\color{teal} {\ddot\smile}\]
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
can i ask one more question..?
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
ok thnx.. d^3y/dt^3 + d^2y/dt^2 + dy/dt = sint
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.6
the laplace of?
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.6
use \[\boxed{\mathcal L\big\{f'(t)\big\}=sF(s)f(0)}\]\[\boxed{\mathcal L\big\{f^n(t)\big\}=s^nF(s)s^{n1}f(0)s^{n2}f'(0)\dotssf^{n2}(0)f^{n1}(0)}\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
since initial conditions are not given, assume them to be 0.
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.6
hmm, the question should state the initial conditions
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
which gives you, \(\boxed{\mathcal L\big\{f^n(t)\big\}=s^nF(s)}\)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
when not given, we can safely assume then to be 0.
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.6
i wouldn't assume that, i would have initial conditions in my final result
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
hmmm....verrrry interesting symbols ya'll got there.
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
i dont understand :(
 one year ago

Tushara Group TitleBest ResponseYou've already chosen the best response.0
do u have the initial conditions?
 one year ago

Tushara Group TitleBest ResponseYou've already chosen the best response.0
please give them
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
Laplace d^3y/dt^3 + d^2y/dt^2 + dy/dt = sint
 one year ago

Tushara Group TitleBest ResponseYou've already chosen the best response.0
there shud be more... r u give what y(0) is?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
dy/dt = f'(t) d^2y/dt^2 = f'' (t) d^3y/dt^3 = f'''(t) and then use, \(\boxed{\mathcal L\{f^n(t)\big\}=s^nF(s)s^{n1}f(0)s^{n2}f'(0)\dotssf^{n2}(0)f^{n1}(0)}\)
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
DOnt know y(0) :(
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
oh thnx hartnn
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
i want thats,,step by step so thnx
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
thanks to all who try to help me..
 one year ago

Tushara Group TitleBest ResponseYou've already chosen the best response.0
i hope u can solve it now.... this might help, check out example 3: http://www2.fiu.edu/~aladrog/LaplaceTransDifferentialEq.pdf
 one year ago

S_Student Group TitleBest ResponseYou've already chosen the best response.1
OK...thnx :)
 one year ago
See more questions >>>
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.