In Problems 41 , use the Laplace transform to solve each system.
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&#...
Use the Laplace transform to solve initial value problems
5. *" + 4x = f(x); x(t) = 35. f(t – 1) sin 27 dt, x(0) = x'(0) = 0 (use a convolution theorem).
Use the Laplace transform to solve initial value problems
4. x" + 4x' + 13x = te-t, x(0) = 0, x'(0) = 2.
Use the Laplace transform to solve initial value problems
1. *" + 4x' + 8x = e, x(0) = x'(0) = 0.
Use Laplace transform techniques to solve the following; a = x + y - 9t, x(0) = 1 a ly = 4x + y, y(0) = 4 b) sinh(t) = S. y(z) cos(t – z) dz
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
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) =
QUESTION 1 The Laplace Transform y"-16y=16u(t) Use the Laplace Transform to solve y(O)=0 (y'(0)=0.
Use the Laplace transform to solve initial value problems
3. tx" + 2(t-1)x' - 2x = 2, x(0) = 0.
Using Laplace Transform (LT) and Inverse Laplace Transform (LT) solve the following system of equations: 1. X'=- 2x + 5oy y' = x - y With x(0) = 25, and y(0) = 0 2. x' + 4x - y = 7t x' + y' - 2y = 3t With x(0) = 1, and y(0) = 0
use laplace transform
4. x" + 4x' + 13x = te-t, x(0) = 0, x'(0) = 2.