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kailoon889
 3 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
 3 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

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TuringTest
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0...but you know how to take the laplace of these expressions, right?

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

TuringTest
 3 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
 3 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
 3 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.
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