Consider the following differential equations system: Sx"(1) – x" (1) + y" (1) + y' (1) + y(t) = e-t l x"(1) – 2x'(t) + x(t) + y'(t) + y(t) = 0 - X When using differential operators to eliminate y(t). What is a differential equation that allows us to obtain x(t)? Seleccione una: a. (D³ + D² +D – 1)x(t) = 0 b. D² (D – 1)x(t) = 0 c. (D – 1)(D² + 1)x(t) = 0 d. (D – 1)(D² + 1)x(t) = -2e-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following differential equations system:
Sx"(1) – x" (t) + y" (1) + y' (t) + y(t) = e-
I x"(1) – 2x' (1) + x(t) + y'(t) + y(t) = 0
When using differential operators to eliminate y(t). What is a differential equation that allows us to obtain x(t)?
Seleccione una:
a. (D³ + D² + D – 1)x(t) = 0
b. D² (D – 1)x(t) = 0
c. (D – 1)(D² + 1)x(t) = 0
d. (D – 1)(D² + 1)x(t) = –2e¬t
Transcribed Image Text:Consider the following differential equations system: Sx"(1) – x" (t) + y" (1) + y' (t) + y(t) = e- I x"(1) – 2x' (1) + x(t) + y'(t) + y(t) = 0 When using differential operators to eliminate y(t). What is a differential equation that allows us to obtain x(t)? Seleccione una: a. (D³ + D² + D – 1)x(t) = 0 b. D² (D – 1)x(t) = 0 c. (D – 1)(D² + 1)x(t) = 0 d. (D – 1)(D² + 1)x(t) = –2e¬t
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