A third order linear, homogeneous DE whose general solution is y(t) = C₁et + C₂e³t + Сzet is: [Hint: The general solution implies that r=1,3 and 6 are the roots of the characteristic equation. Hence r-1, r-3 and r-6 are the factors of the characteristic equation.] OA y"" - 10y" - 27y' - 18y = 0 OB.y"" +10y" - 27y' - 18y = 0 Ocy" +10y" + 27y' - 18y = 0 OD. none of these OE y" - 10y" + 27y' - 18y = 0 Reset Selection
A third order linear, homogeneous DE whose general solution is y(t) = C₁et + C₂e³t + Сzet is: [Hint: The general solution implies that r=1,3 and 6 are the roots of the characteristic equation. Hence r-1, r-3 and r-6 are the factors of the characteristic equation.] OA y"" - 10y" - 27y' - 18y = 0 OB.y"" +10y" - 27y' - 18y = 0 Ocy" +10y" + 27y' - 18y = 0 OD. none of these OE y" - 10y" + 27y' - 18y = 0 Reset Selection
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![A third order linear, homogeneous DE whose general solution is
y(t) = C₁et + C₂e³t + C₂e6t is:
[Hint: The general solution implies that r=1,3 and 6 are the roots of
the characteristic equation. Hence r-1, r-3 and r-6 are the factors of
the characteristic equation.]
O Ay"" - 10y" - 27y' - 18y = 0
A.
O B.y"" +10y" - 27y' - 18y = 0
O cy"" + 10y" + 27y' - 18y = 0
O D. none of these
OEy"" - 10y" + 27y' - 18y = 0
Reset Selection
30](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd9479f3-4a04-4c3e-8173-cafdf796b2ec%2F224f2a10-49e8-4911-a88f-baa66af86adb%2Fst4ri3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A third order linear, homogeneous DE whose general solution is
y(t) = C₁et + C₂e³t + C₂e6t is:
[Hint: The general solution implies that r=1,3 and 6 are the roots of
the characteristic equation. Hence r-1, r-3 and r-6 are the factors of
the characteristic equation.]
O Ay"" - 10y" - 27y' - 18y = 0
A.
O B.y"" +10y" - 27y' - 18y = 0
O cy"" + 10y" + 27y' - 18y = 0
O D. none of these
OEy"" - 10y" + 27y' - 18y = 0
Reset Selection
30
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