Question

(16 pts) Use Laplace transforms and Cramer's Rule to solve the systems of equations\\ $\frac{dx}{dt} = x - 2y$ where $x(0) = -1$\\ $\frac{dy}{dt} = 5x - y$ $y(0) = 2$

          (16 pts) Use Laplace transforms and Cramer's Rule to solve the systems of equations\\
$\frac{dx}{dt} = x - 2y$ where $x(0) = -1$\\
$\frac{dy}{dt} = 5x - y$  $y(0) = 2$

(16 pts) Use Laplace transforms and Cramer's Rule to solve the systems of equations

(dx)/(dt) = x - 2y where x(0) = -1

(dy)/(dt) = 5x - y y(0) = 2

Added by David P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/24/2022

Step 1

Applying the Laplace transform to the first equation: L{dx/dt} = L{x - 2y} sX(s) - x(0) = X(s) - 2Y(s) sX(s) + 1 = X(s) - 2Y(s) sX(s) - X(s) + 2Y(s) = -1 Applying the Laplace transform to the second equation: L{dy/dt} = L{5x - y} sY(s) - y(0) = 5X(s) - Show more…

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(16 pts) Use Laplace transforms and Cramer's Rule to solve the systems of equations (dx)/(dt) = x - 2y where x(0) = -1 (dy)/(dt) = 5x - y, y(0) = 2 16 pts Use Laplace transforms and Cramer's Rule to solve the systems of equations: (dx)/(dt) = x - 2y where x0 = -1 (dy)/(dt) = 5x - y, y0 = 2