anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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TuringTest
  • TuringTest
Laplace to solve a system? new one on me, can't wait to see the soution
TuringTest
  • TuringTest
...but you know how to take the laplace of these expressions, right?
anonymous
  • anonymous
yeah but i have no idea how to solve this system D=

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TuringTest
  • TuringTest
me neither :( let me call for reinforcements: @JamesJ @Mr.Math @across @lalaly help with a DE system
anonymous
  • anonymous
transform both DEs\[s^{2} X(s) - sx(0) - x'(0) = X(s) + 3Y(s)\]\[s^{2}Y(s) - sy(0) - y'(0) = 4X(s)-\frac{4}{s-1}\]plug in the initial conditions, simplify and solve for X(s) and Y(s)
Mr.Math
  • Mr.Math
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.

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