A community for students.
Here's the question you clicked on:
 0 viewing
kailoon889
 2 years ago
Use Laplace transform to solve the following system:
x''=x+3y
y''=4x(4e^t)
x(0)=2; x'(0)=3 ;y(0)=1 ;y'(0)=2
kailoon889
 2 years ago
Use Laplace transform to solve the following system: x''=x+3y y''=4x(4e^t) x(0)=2; x'(0)=3 ;y(0)=1 ;y'(0)=2

This Question is Closed

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0Laplace to solve a system? new one on me, can't wait to see the soution

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0...but you know how to take the laplace of these expressions, right?

kailoon889
 2 years ago
Best ResponseYou've already chosen the best response.0yeah but i have no idea how to solve this system D=

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0me neither :( let me call for reinforcements: @JamesJ @Mr.Math @across @lalaly help with a DE system

exraven
 2 years ago
Best ResponseYou've already chosen the best response.1transform both DEs\[s^{2} X(s)  sx(0)  x'(0) = X(s) + 3Y(s)\]\[s^{2}Y(s)  sy(0)  y'(0) = 4X(s)\frac{4}{s1}\]plug in the initial conditions, simplify and solve for X(s) and Y(s)

Mr.Math
 2 years ago
Best ResponseYou've already chosen the best response.2It's easy if you already know how to do the laplace transform. You'll be left, as exraven explained, with two equations in two variables \(X(s)\) and \(Y(s)\), solve for them and then take the inverse laplace transform to each one separately.
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.