5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0 OA) m: 1 + √2i, 1 - √√2i dy +3=0 m: 1 + √2,1-√√2,0 B) m: 1 ± √2i,0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 30E
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Question
5. Given the Standard Equation the DE, Identify the roots
d³ y
dx³
d²y
dx²
dy
dx
= 0
m: 1+√√2,1-√√2,0
B)
m: 1 ± √2i,0
-
2
m: 1 ± √2,0
A)
m: 1 + √2i, 1-√√2i
+3
D)
Transcribed Image Text:5. Given the Standard Equation the DE, Identify the roots d³ y dx³ d²y dx² dy dx = 0 m: 1+√√2,1-√√2,0 B) m: 1 ± √2i,0 - 2 m: 1 ± √2,0 A) m: 1 + √2i, 1-√√2i +3 D)
3. Given the General Solution the DE, Identify the roots
*
y = C₁ + C₂x + С3еx + С4xe*
OA) m1 = 0; m2= 1 ; m3= 1 ; m4= 1
O B) m1 = 1; m2= 1 ; m3= 1 ; m4= 1
C) m1 = 0; m2= 0; m3= 1 ; m4= 1
D) m1 = 0; m2= 0; m3= 0 ; m4= 1
4. Given the Standard Equation the DE, Identify the roots *
d³ y
d²y
day
dx4
4-70+
dx³
dx²
A) m: -3, -2,0,0
B) m: 3,2,0,0
C) m: -3, -2,0
D) m: 3, 2, 2, 0
+16
-
dy
dx
12 –
= 0
Transcribed Image Text:3. Given the General Solution the DE, Identify the roots * y = C₁ + C₂x + С3еx + С4xe* OA) m1 = 0; m2= 1 ; m3= 1 ; m4= 1 O B) m1 = 1; m2= 1 ; m3= 1 ; m4= 1 C) m1 = 0; m2= 0; m3= 1 ; m4= 1 D) m1 = 0; m2= 0; m3= 0 ; m4= 1 4. Given the Standard Equation the DE, Identify the roots * d³ y d²y day dx4 4-70+ dx³ dx² A) m: -3, -2,0,0 B) m: 3,2,0,0 C) m: -3, -2,0 D) m: 3, 2, 2, 0 +16 - dy dx 12 – = 0
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