A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
1. Given that X=x(t) and y=Y(t) are two functions of time, t and they are related by the following equations.
dx/dt  x +y=e^t
xdy/dt=0
by eliminatiing x=x(t) and its derivative show that : d^2y/dt^2 dy/dt+y = e^t
2. Use laplace transform to solve the resulting differential eqaution :
d^2y/dt^2  dy/dt +y = e^t
conditions y(0)=1 and dy/dt=1 and t=0
3. Hence find an explicit form of x=x(t)
anonymous
 4 years ago
1. Given that X=x(t) and y=Y(t) are two functions of time, t and they are related by the following equations. dx/dt  x +y=e^t xdy/dt=0 by eliminatiing x=x(t) and its derivative show that : d^2y/dt^2 dy/dt+y = e^t 2. Use laplace transform to solve the resulting differential eqaution : d^2y/dt^2  dy/dt +y = e^t conditions y(0)=1 and dy/dt=1 and t=0 3. Hence find an explicit form of x=x(t)

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0im i supposed to diffrentiate the first part?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i dont have a clue how to start this ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0How can eliminate x(t)?

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.0First derive the second equation wrt time: dx/dt  d^2y/dt^2=0 Rewrite as: dx/dt = d^2y/dt^2 < 1 Now rewrite the second equation: x = dy/dt <2 Now look at the first equation: dx/dt  x +y=e^t Sub in 1 and 2: d^2y/dt^2  dy/dt + y = e^t which gives the desired result.

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.0I've never done differential equations or laplace transformations, so I can't help on the second and third one, sorry

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh right i see, i think i can do question 2, but not sure about 3?

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.0If you give me the answer to the second one, I can try and figure out 3.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1354568179841:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1354568287483:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Where did you get xcos from?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1354568458794:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1354568607205:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0right so for part 3 you meant to solve in terms of x !
Ask your own question
Sign UpFind 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
 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.