Question

Question 2 Solve the system: $$(D^2+1)[x_1] - 2D[x_2] = 2t,$$ $$(2D-1)[x_1] - (2-D)[x_2] = 5,$$ by using the elimination method (operator method).

Name: question 2 solve the system d21x1 2dx2 2t 2d 1x1 2 dx2 5 by using the elimination method operator method 01617
Uploaded: 2025-04-14T12:49:06-08:00
Duration: 8 min
Channel: Sam Stansfield
Description: question 2 solve the system d21x1 2dx2 2t 2d 1x1 2 dx2 5 by using the elimination method operator method 01617

          Question 2 Solve the system:
$$(D^2+1)[x_1] - 2D[x_2] = 2t,$$
$$(2D-1)[x_1] - (2-D)[x_2] = 5,$$
by using the elimination method (operator method).

Added by Shawna M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sam Stansfield

04/14/2025

Step 1

Multiply equation (1) by $(2-D)$ and equation (2) by $2D$: $$(2-D)(D^2+1)x_1 - (2-D)2Dx_2 = (2-D)2t$$ $$2D(2D-1)x_1 - 2D(2-D)x_2 = 2D(5)$$ $$(2D^2+2-D^3-D)x_1 - (4D-2D^2)x_2 = 4t-2Dt$$ $$(4D^2-2D)x_1 - (4D-2D^2)x_2 = 10D$$ Subtract the second equation from the Show more…

Show all steps