Second-Order Linear Homogeneous Equations Quiz
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the characteristic polynomial for a second-order linear homogeneous equation with constant coefficients?
aM^2 + bM^2 + c
aM + b
aM^3 + bM^2 + cM
aM^2 + bM + c
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving a characteristic polynomial with distinct real roots, what form do the solutions take?
y = c1 * e^(m1 * x) + c2 * e^(m2 * x)
y = c1 * x^m1 + c2 * x^m2
y = c1 * sin(m1 * x) + c2 * cos(m2 * x)
y = c1 * m1^x + c2 * m2^x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example y'' - 5y' = 0, what is the value of the missing term C?
-5
5
0
1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the solution y = c1 * e^(0 * x) + c2 * e^(5 * x)?
y = c1 * e^(0 * x) + c2 * e^(5 * x)
y = c1 * e^(5 * x) + c2 * e^(0 * x)
y = c1 * e^(5 * x) + c2
y = c1 + c2 * e^(5 * x)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation y'' - 16y = 0, what is the characteristic polynomial?
M^2 - 16 = 0
M^2 + 16 = 0
M^2 - 16M = 0
M^2 + 16M = 0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots of the characteristic equation M^2 - 16 = 0?
16 and -16
4 and -4
8 and -8
0 and 16
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example y'' - 3y = 0, what is the value of the missing term B?
3
1
-3
0
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