transform to solve the given system of dit Use the +x-y- o x(t)- transform to solve the given system of dit Use the +x-y- o x(t)-
Use the Laplace transform to solve the given system of differential equations. Use the Laplace transform to solve the given system of differential equations. of + x - x + y = 0 dx + dy + 2y = 0 x(0) = 0, y(0) = 1 Hint: You will need to complete the square and use the 1st translation theorem when solving this problem. x(t) = y(t) =
Use the Laplace transform to solve the given system of differential equations.$$ \begin{aligned} &\frac{d x}{d t}=x-2 y \\ &\frac{d y}{d t}=5 x-y \\ &x(0)=-1, \quad y(0)=5 \end{aligned} $$
use the Laplace transform to solve the given system of differential equations dx dt dx dt dt dt x(0) 0, y(o)0 x(t) =
Problem 1 Use the Laplace transform to solve the given system of differential equations. ,(t)6x(t)-x(t) x, (t0) 0 cs (t-0)-1 X2 (t = 0)=0 IC's X2 (t=0)--1
In Problems 41 , use the Laplace transform to solve each system. 41 x' + y=t 4x+y'=0 x(0,-1, y(0)-2 41 x' + y=t 4x+y'=0 x(0,-1, y(0)-2
Use the Laplace transform to solve the given initial-value problem. 0 st<1 t 1 y' y f(t), y(0) 0, where f(t) (4, ae-1 -(1-1) 4 y(t) X Use the Laplace transform to solve the given initial-value problem. 0 st
Use the Laplace transform to solve the given initial-value problem. y" + y = 8(6 - ) + 8(t-?M), (O) = 0, 7(0) = 0 -cos(t) – Jault --) + ( -cos (1) x )ult- y(t) 7 2 7
QUESTION 1 The Laplace Transform y"-16y=16u(t) Use the Laplace Transform to solve y(O)=0 (y'(0)=0.
Consider the differential equation: 0)+ y(t)-x(), and use the unilateral Laplace Transform to solve the following problem. a. Determine the zero-state response of this system when the input current is x(t) = e-Hu(t). b. Determine the zero-input response of the system for t > 0-, given C. Determine the output of the circuit when the input current is x(t)- e-2tu(t) and the initial condition is the same as the one specified in part (b).
Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 29y = δ(t-a) + δ(t-3x), y(0) = 1, y"(0) = 0 y(t) = Need Help? Read ItTalik to a Tutor Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 29y = δ(t-a) + δ(t-3x), y(0) = 1, y"(0) = 0 y(t) = Need Help? Read ItTalik to a Tutor