Question

When the Laplace transform is applied to the system \frac{dx}{dt} = 4x - y \frac{dy}{dt} = 2x + y x(0) = 1, y(0) = 0 the resulting transformed system is Select the correct answer

          When the Laplace transform is applied to the system
\frac{dx}{dt} = 4x - y
\frac{dy}{dt} = 2x + y
x(0) = 1, y(0) = 0
the resulting transformed system is
Select the correct answer

When the Laplace transform is applied to the system
(dx)/(dt) = 4x - y
(dy)/(dt) = 2x + y
x(0) = 1, y(0) = 0
the resulting transformed system is
Select the correct answer

Added by Matthew D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/06/2023

Step 1

The Laplace transform of (dx/dt) is sX(s) - x(0), where X(s) is the Laplace transform of x(t). The Laplace transform of (dy/dt) is sY(s) - y(0), where Y(s) is the Laplace transform of y(t). Using the given initial conditions x(0) = 1 and y(0) = 0, the Laplace Show more…

Show all steps

Thanks for your feedback!

When the Laplace transform is applied to the system (dx)/((d)t)=4x-y (dy)/((d)t)=2x+y x(0)=1,y(0)=0 the resulting transformed system is Select the correct answer When the Laplace transform is applied to the system xp 4x - y dy =2x+y dt x(0=1,y0)=0 the resulting transformed system is Select the correct answer