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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
 2 years ago
 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
 2 years ago
 2 years ago

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

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

kailoon889Best ResponseYou've already chosen the best response.0
yeah but i have no idea how to solve this system D=
 2 years ago

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

exravenBest ResponseYou've already chosen the best response.1
transform 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)
 2 years ago

Mr.MathBest ResponseYou've already chosen the best response.2
It'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.
 2 years ago
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