Let x(r) be the function that satisfies the differential equation. 91x + 3x + +(₁)x=0 fort > 0. Given that the numbers m, and my are it's indicial roots, select two correct options from the following (A and B are arbitrary constants). A. m₁ = m₂ = -3 B. x(1) Ar3+ Br-3 Int = C. m₁ = m₂ = 1/3 D. x(r)= Ar-13+ Br-13. E. x(1) Ar+ Br1/3 Int (Enter the relevant letters separated by a comma with no spaces, for example A,B) Answer:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Answer both

of
Let x(1) be the function that satisfies the differential equation
91x + 3x +
+(-) = 0
fort > 0.
Given that the numbers m, and my are it's indicial roots, select two correct options from the following (A and B are arbitrary
constants).
A. m₁ = m₂ = -3
B. x(1) Ar+ Br-³ Int
-
C. m₁ = m₂ = 1/3
D. x(t) = Ar-13+ Br-1/3
E. x(1) Ar+ Br/ Int
(Enter the relevant letters separated by a comma with no spaces, for example A,B)
Answer:
Transcribed Image Text:of Let x(1) be the function that satisfies the differential equation 91x + 3x + +(-) = 0 fort > 0. Given that the numbers m, and my are it's indicial roots, select two correct options from the following (A and B are arbitrary constants). A. m₁ = m₂ = -3 B. x(1) Ar+ Br-³ Int - C. m₁ = m₂ = 1/3 D. x(t) = Ar-13+ Br-1/3 E. x(1) Ar+ Br/ Int (Enter the relevant letters separated by a comma with no spaces, for example A,B) Answer:
The general solution to the differential equation
dx
dr + (²)x=1-1
di
can be written = u(t)u(t) where u and u are functions to be determined.
Choose two correct options from the following (C is an arbitrary constant).
A U=1-2
B. u-21² + e + C
C. v = est
D. U =
= -²+
E. u=
(Enter the relevant letters separated by a comma with no spaces, for example A,B)
Answer:
Transcribed Image Text:The general solution to the differential equation dx dr + (²)x=1-1 di can be written = u(t)u(t) where u and u are functions to be determined. Choose two correct options from the following (C is an arbitrary constant). A U=1-2 B. u-21² + e + C C. v = est D. U = = -²+ E. u= (Enter the relevant letters separated by a comma with no spaces, for example A,B) Answer:
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